PUBLICATIONS DE IBRAHIM ASSEM
Articles
Prépublications
Assem, I. et Le Meur, P. : Galois Coverings and Change of Rings.
2021
Assem, I., : Lectures on split-by-nilpotent extensions, Advances in Representation Theory, Contemporary Mathematics, 761 (2021) 1-35.
Assem, I., Redondo, M.J., et Schiffler, R., : A note on sequential walks, Advances in Representation Theory, Contemporary Mathematics vol 761 (2021) 37-50.
2020
Assem, I., Bustamante, J.C., Trepode, S., Valdivieso, Y., : From the potential to the first Hochschild cohomology group of a cluster tilted algebra, Algebras and Representation Theory, 24 (2021) 1191–1220..
Akl, S. et Assem, I. : Fully homomorphic encryption: a general framework and implementations, paru en ligne dans International Journal of Parallel, Emergent and Distributed Systems, Volume 35, Issue 5 (2020) 493-498..
2019
Assem, I., Bustamante, J.C., Dionne, J., Le Meur, P. et Smith, D. : Representation theory of partial relation extensions, Coll. Math. Vol. 155, No. 2 (2019)157-186.
2018
Assem, I., Gatica, M. A. et Schiffler, R., : Hochschild cohomology of partial relation extensions, Comm. Algebra, Vol. 46 (2018) Issue 2, 5273-5282.
Assem, I., Souto Salorio, M. J. et Trepode, S., : Split t-structures and torsion pairs in hereditary categories, Journal of Algebra and Its Applications, Vol. 17, No. 11 (2018) 1850218 (16 pages).
Assem, I., : A course on cluster tilted algebras, in: Homological Methods, Representation Theory, and Cluster Algebras, Springer, Berlin Heidelberg, New York, 2018, pp. 127-176..
Assem, I., Schiffler, R., Serhiyenko, K., : Modules over cluster-tilted algebras that do not lie on local slices, Archiv der Math., Vol. 110, Issue 1 (2018) 9-18.
2017
Alvares, E.R., Assem, I., Castonguay, D. et Vargas, R. S., : Right ada algebras, J. Algebra and its Applications, Vol. 16, No. 11 (2017).
Assem, I., Schiffler, R. et Serhiyenko, K., : Cluster-tilted and quasi-tilted algebras, J. Pure and Applied Algebra 221(2017) 2266-2288.
Assem, I, Skowronski, A. et Trepode, S., : The representation dimension of a selfinjective algebra of wild tilted type, J. Algebra 477 (2017)163-194..
2016
Assem, I., Skowroński, A. et Trepode, S. : The Representation Dimension of a Selfinjective Algebra of Euclidean Type, J. Algebra, 459 (2016) 157-188..
Assem, I., Gatica, M. A., Schiffler, R., et Taillefer, R. : Hochschild cohomology of relation extension algebras, J. Pure Applied Algebra 220, Issue 7 (2016) 2471-2499..
2015
Assem, I., Redondo, M.J. et Schiffler, R. : On the first Hochschild cohomology group of a cluster-tilted algebra, Algebras and Representation Theory, 18 (2015) 1547-1576..
2014
Assem, I., Coelho, F. U., et Wagner, H., : On subcategories closed under predecessors and the representation dimension, J. Algebra 418 (2014) 174-196.
Assem, I., Schiffler, R., et Shramchenko, V., : Addendum to Cluster Automorphisms and compatibility of cluster variables, Glasgow Math. J. 56 (2014) 719-720.
Assem, I., Schiffler, R., et Shramchenko, V., : Cluster automorphisms and compatibility of cluster variables, Glasgow Math. J. 56 (2014) 705-718.
2013
Assem, I.,et Dupont, G. : Modules over cluster-tilted algebras determined by their dimension vectors, Comm. Algebra, Vol. 41 (2)4711-4721 (2013).
Assem, I., Dupont, G., et Schiffler, R. : On a category of cluster algebras, J. Pure and Applied Algebra 218 (3) 553-582 (2013).
Assem, I., Gatica, M. A., et Schiffler, R. : The higher relation bimodule, Algebras and Representation Theory, Vol. 16, No. 4 (2013)979-999..
Assem, I. Bustamante, J. C., Igusa, K., et Schiffler, R., : The first Hochschild cohomology group of a cluster-tilted algebra revisited, International Journal of Algebra and Computation, Vol. 23, No. 4 (2013) 729-744..
2012
Assem, I., Schiffler, R., et Shramchenko, V. : Cluster automorphisms, Proc. London Math. Soc. (3) 104 (2012) 1271–1302.
Assem, I. et Reutenauer, C. : Mutating seeds: types A and Ã., Ann. Math. Blaise Pascal, Vol. 19 no. 1 (2012), p. 29-73.
Assem, I., Castonguay, D., Lanzilotta, M., et Vargas, R. S. : Algebras determined by their supports, J. Pure and Applied Algebra 216 (2012) 1134-1145.
2011
Assem, I,, Bustamante, J. C., et Le Meur, P. : Special biserial algebras with no outer derivations, Colloq. Math.125 (2011), 83-98.
Assem, I., Dupont, G., Schiffler, R., et Smith, D. : Friezes, strings and cluster variables, Glasgow Math. J. 54 (2012) 27-60.
Alvares, E. R., Assem, I., Coelho, F. U., Peña, M. I., et Trepode, S. : From trisections in module categories to quasi-directed components, J. Algebra and its Appl. Vol. 10, No. 3 (2011) 409-433.
Assem, I. et Dupont, G. : Friezes and a construction of the Euclidean cluster variables, J. Pure Applied Algebra 215 (2011) 2322-2340.
2010
Assem, I., Reutenauer, C. et Smith, D. : Friezes, Advances in Mathematics 225 (2010) 3134-3165.
Assem, I., Brüstle, T., et Schiffler, R. : Cluster-tilted algebras without clusters, J. Algebra 324 (2010) 2475-2502.
Assem, I., Brüstle, T., Charbonneau-Jodoin, G., et Plamondon, P.-G. : Gentle algebras arising from surface triangulations, Algebra and Number Theory, Vol 4, No. 2 (2010) 201-229..
Assem, I., Bustamante, J. C., et Le Meur, P. : Coverings of Laura Algebras : the Standard Case, J. Algebra 323(1) (2010) 83-120.
2009
Assem, I., Coelho, F. U., et Trepode, S. : Contravariantly finite subcategories closed under predecessors, J. Algebra 322 (2009) 1196-1213.
Assem, I. : Left sections and the left part of an artin algebra, Colloq. Math. vol. 116, no. 2 (2009) 273-300.
Assem, I., Brüstle, T., et Schiffler, R. : On the Galois coverings of a cluster-tilted algebra, J. Pure Applied Algebra, Vol. 213, no. 7 (2009) 1450-1463.
Assem, I. et Redondo, M. J. : The first Hochschild cohomology group of a schurian cluster-tilted algebra, Mansucripta Math. 128 (2009) 373-388.
2008
Assem, I., Brüstle, T., et Schiffler, R. : Cluster-tilted algebras and slices, J. Algebra.319 (2008) 3464-3479.
Assem, I., Brüstle, T., et Schiffler, R. : Cluster-tilted algebras as trivial extensions, Bull. London Math. Soc. 40 (2008) 151-162.
Assem, I., Souto, M. J. et Trepode, S. : Ext-projectives in suspended subcategories, J. Pure Applied Algebra 212 (2008) 423-434.
Assem, I., Brüstle, T., Schiffler, R., et Todorov, G. : m-cluster categories and m-replicated algebras, J. Pure Applied Algebra 212 (2008) 884-901.
Assem, I., Blais, M., Brüstle, T., and Samson, A. : Mutation classes of skew-symmetric 3x3-matrices, Comm. Algebra vol. 36, no. 4 (2008) 1209-1220.
Assem, I., Coelho, F. U. et Trepode, S. : The bound quiver of a split extension, J. Algebra and its Appl. vol. 7, no. 4 (2008) 405-423.
2007
Assem, I., Happel, D. et Trepode, S. : Extending tilting modules to one-point extensions by projectives, Comm. Algebra Vol. 36 (10) (2007) 2983-3006.
Assem, I, Lanzilotta, M. et Redondo, M.-J. : Laura skew group algebras, Comm. Algebra, Vol. 35, no. 7 (2007) 2241-2257.
Assem, I., Castonguay, D., Marcos, E. N., et Trepode, S. : Quotients of incidence algebras and the Euler characteristic, Comm. Algebra, Vol. 35, no. 4 (2007) 1075-1086.
Assem, I., Cappa, J., Platzeck, M. I, et Trepode, S. : Some characterisations of supported algebras, J. Pure Applied Algebra, 208 (2007) 1121-1135.
2006
Assem, I., Brüstle, T., Schiffler, R. et Todorov, G. : Cluster categories and duplicated algebras, J. Algebra 305 (2006) 548-561.
Assem, I., Platzeck, M. I., et Trepode, S. : On the representation dimension of tilted and laura algebras, J. Algebra 296 (2006) 426-439.
Assem, I. : Simple connectedness and homology of schurian algebras, Ann. Sci. Math. du QuébecVol. 30, No. 2 (2006) 143-174.
2005
Assem, I., Souto, M. J., et Zuazua, R. : A note on aisles in a triangulated Krull-Schmidt category, Publ. Mat. Ur.Vol. 10 (2005) 53-58.
Assem, I., Bustamante, J.C., Castonguay, D., et Novoa, C. : A note on the fundamental group of a one-point extension, Proyecciones, Vol. 24, No. 1 (2005) 79-87.
Assem, I., et Saorin, M. : Abelian exact subcategories closed under predecessors, Comm. Algebra, Vol. 33 (2005) 1205-1216.
Assem, I., Coelho, F. U, Lanzilotta, M, Smith, D. et Trepode, S. : Algebras determined by their left and right parts, Proc. XVto Coloquio Latinamericano de Algebra,, Cocoyoc (2003), Contemp. Math. 376 (2005) 13-47, American Math. Soc..
Assem, I., Castonguay, D., Marcos, E. N., et Trepode, S. : Strongly simply connected schurian algebras and multiplicative bases, J. Algebra 283 (2005) 161-189.
Assem, I., Cappa, J., Platzeck, M. I, et Trepode, S. : The left part and the Auslander-Reiten components of an artin algebra, Revista Union Mat. Arg., Vol. 465, No. 2 (2005) 19-33.
2004
Assem, I. et Coelho, F. U. : Endomorphism rings of projective modules over laura algebras, J. Algebra and its Appl Vol. 3, No. 1 (2004) 49-60.
Assem, I., Coelho, F.U. et Trepode, S. : The left and the right parts of a module category, J. Algebra 281, No. 2, (2004) 518-534.
Assem, I. et Lanzilotta, M. : The simple connectedness of a tame weakly shod algebra, Comm. Algebra, Vol. 32, No. 9 (2004) 3685-3702.
2003
Assem, I. et Zacharia, D. : On split-by-nilpotent extensions, Colloq. Math. Vol. 98, No. 2 (2003) 259-275.
Assem, I., Platzeck, M.I., Redondo, M.J. et Trepode, S. : Simply connected incidence algebras, Discrete Maths 269 (2003) 333-355.
Assem, I. et Coelho, F. U. : Two-sided gluings of tilted algebras, J. Algebra, 269 (2003) 456-479.
2002
Assem, I., Coelho, F.U. et Trepode, S. : Simply connected tame quasi-tilted algebras, J. Pure Applied Algebra, 172 (2002) 139-160.
Assem, I. : Strongly simply connected derived tubular algebras, Proc. Conf. on Rep. of Algebras- Sao Paulo, CRASP, Lecture Notes in Pure and Applied Math., M. Dekker, New York, Vol. 224 (2002) 21-29.
2001
Assem, I., Marcos, E. N. et de la Peña, J. A. : The simple connectedness of a tame tilted algebra, J. Algebra 237 (2001) 647-656.
2000
Assem, I., Liu, S. et de la Peña, J. A. : The strong simple connectedness of a tame tilted algebra, Comm. Algebra 28 (3) 1553-1565 (2000).
Assem, I., Happel, D. et Trepode, S. : Tilting up iterated tilted algebras, Proc. Amer. Math. Soc. 128 (2000) 2223-2232.
1999
Assem, I. et Zacharia, D. : Full embeddings of almost split sequences over split-by-nilpotent extensions, Colloq. Math., Vol. 81, No. 1 (1999) 21-31.
Assem, I. : Simply connected algebras, Resenhas IME-USP, Vol. 4 No. 2 (1999) 93-125.
1998
Assem, I. et Zhang, Y. : Endomorphism algebras of exceptional sequences over path algebras of type Ãn, Colloq. Math. Vol. 77 (1998) No. 2, 271-292.
Assem, I. et Coelho, F. U. : Postprojective partitions for tilting torsion pairs, Trends in the Representation Theory of Finite Dimensional Algebras, Proc. Seattle 1997, Contemp. Math. Vol. 229 (1998) 1-5.
Assem, I., Beligiannis, A. et Marmaridis, N. : Right triangulated categories with right semi-equivalences, Proc. Geiranger 1996, CMS Conf. Proc. Vol. 24 (1998) 17-37.
Assem, I. et Liu, S. : Strongly simply connected algebras, J. Algebra 207 (1998) 449-477.
Assem, I. et Castonguay, D. : Strongly simply connected one-point extensions of tame hereditary algebras, Comm. Algebra, Vol. 26, No. 12 (1998) 4343-4356.
Assem, I. et Marmaridis, N. : Tilting modules over split-by-nilpotent extensions, Comm. Algebra, 26 (5) 1547-1555 (1998).
1997
Assem, I. and Brown, P. : Strongly simply connected Auslander algebras, Glasgow Math. J. 39 (1997) 21-27.
Assem, I. and Liu, S. : Strongly simply connected tilted algebras, Annales Sci. Math. du Québec No. 1, Vol. 21 (1997) 13-22.
1996
Assem, I. et Skowronski, A. : Coils and Multicoil algebras, Proceedings Workshop UNAM, Mexico, CMS Conf. Proc. Vol. 19 (1996) 1-24.
Assem, I. and Kerner, O. : Constructing torsion pairs, J. Algebra 185 (1996) 19-41.
Assem, I. et de la Peña, J. A. : On the tameness of trivial extension algebras, Fund. Math. 149 (1996) 171-181.
Assem, I. et de la Peña, J. A. : The fundamental groups of a triangular algebra, Comm. Algebra Vol. 24, No. 1 (1996) 187-208.
1995
Assem, I., Skowronski, A. et Tomé, B. : Coil enlargements of algebras, Tsukuba J. Math Vol. 19, No. 2 (1995) 453-479.
1994
Assem, I. et Coelho, F. U. : Complete slices and homological properties of tilted algebras, Glasgow J. Math. 36 (1994) 347-354.
Assem, I. et Coelho, F. U. : Glueings of tilted algebras, J. Pure Applied Algebra 96 (1994) 225-243.
Assem, I. et Skowronski, A. : Tilting simply connected algebras, Comm. Algebra 22 (12) 4611-4619 (1994).
Assem, I. et Brenner, S. : Unfoldings and APR-tilts, J. Algebra, 164 (1994) 614-631.
1993
Assem, I. et Skowronski, A. : Multicoil algebras, Proceedings Ottawa 1992, CMS Conference proceedings, Vol. 14 (1993) 29-68.
Assem, I. et Skowronski, A. : On tame repetitive algebras, Fundamenta Math., 142 (1993) 59-84.
Assem, I. et Kerner, O. : Tilting modules and a theorem of Hoshino, Glasgow J. Math. 35 (1993) 69-77.
1992
Assem, I. et Skowronski, A. : Indecomposable modules over multicoil algebras, Math. Scand. 71 (1992) 31-61.
1991
Assem, I., Nehring, J. et Schewe, W. : Fundamental domains and duplicated algebras, Proceedings Tsukuba 1990, CMS Conference proceedings, Vol. 11 (1991) 25-57.
1990
Assem, I. et Skowronski, A. : Minimal representation-infinite coil algebras, Manuscripta Math. 67 (1990), 305-331.
Assem, I. et Skowronski, A. : Quadratic forms and iterated tilted algebras, J. Algebra, Vol. 128, No. 1 (1990), 55-85.
Assem, I. : Tilting theory - an introduction, Topics in Algebra, Banach Centre Publications, Vol. 26, PWN, Varsovie, Pologne (1990) 127-180.
1989
Assem, I. et Skowronski, A. : Algèbres pré-inclinées et catégories dérivées, Séminaire M.-P. Malliavin 1987-88, Lecture Notes in Mathematics 1404 (1989) 1-34, Springer-Verlag, Berlin-Heidelberg.
Assem, I., Nehring, J. et Skowronski, A. : Domestic trivial extensions of simply connected algebras, Tsukuba J. Math., Vol. 13, No. 1 (1989) 31-72.
1988
Assem, I. et Skowronski, A. : Algebras with cycle-finite derived categories, Math. Annalen 280 (1988) 441-463.
Assem, I. et Skowronski, A. : On some classes of simply connected algebras, Proc. London Math. Soc. (3) 56 (1988) 417-450.
Assem, I. et Skowronski, A. : Tame and exhaustive repetitive algebras, C.R. Math. Rep. Acad. Sci. Canada, Vol X, No. 6 (1988) 249-253.
1987
Assem, I. et Skowronski, A. : Algèbres héréditaires et tubulaires par morceaux, C.R. Math. Rep. Acad. Sci. Canada, Vol. IX, No. 2 (1987) 83-88.
Assem, I. et Skowronski, A. : Iterated tilted algebras of type Ãn, Math. Zeitschrift, Band 195, Heft 2 (1987) 269-290.
Assem, I. et Iwanaga, Y. : On a class of representation-finite QF-3 algebras, Tsukuba J. Math., Vol. 11, No. 2 (1987) 199-217.
Assem, I. : Separating splitting tilting modules and hereditary algebras, Bull. Can. Math., Vol. 30, (1987) 177-181.
1986
Assem, I. et Iwanaga, Y. : Stable equivalence of representation-finite trivial extension algebras, J. Algebra 102 (1986) 33-38.
1985
Assem, I. et Iwanaga, Y. : A remark on the preprojective partitions for the iterated tilted algebras, Comm. Algebra 13 (5) 1131-1133 (1985).
Assem, I. : On representations of the bimodule DA, Tsukuba J. Math., Vol. 9, No. 2 (1985) 217-232.
1984
Assem, I. : Algebras given by labelled quivers, J. London Math. Soc. (2), Vol. 29 (1984) 41-48.
Assem, I., Happel, D. et Roldán, O. : Representation-finite trivial extension algebras, J. Pure Appl. Algebra 33 (1984) 235-242.
Assem, I. : Torsion theories induced by tilting modules, J. Can. Math. 36, No. 5 (1984) 899-913.
1983
Assem, I. et Roldán, O. : Gradings of Bn and Cn of finite representation type, Trans. Amer. Math. Soc. 279 (2) (1983) 589-609.
Assem, I. : Iterated tilted algebras of type Bn and Cn, J. Algebra 84 (2) (1983) 361-390.
Chehata, C.G., El-Gendy, M. et Assem, I. : Mixed systems with isomorphic limits, Studia Sci. Hungar. 18 (1983) 389-400.
1982
Assem, I. : Tilted algebras of type An, Comm. Algebra 10 (19) 2121-2139 (1982).
1981
Assem, I. et Happel, D. : Generalized tilted algebras of type An, Comm. Algebra 9 (20) 2101-2125 (1981).
Assem, I. : Iterated algebras of type Bn and Cn, C.R. Math. Rep. Acad. Sci. Canada, Vol. III (1981), No. 5, 267-271.
1979
Assem, I., Chehata, C.G. et El-Gendy, M. : Limits of bifunctors into a category, Acta Math. Acad. Sci. Hungar. 34/1-2 (1979) 3-15.
Assem, I., Chehata, C.G. et El-Gendy, M. : The Hom and tensor functors with mixed limits, Acta Math. Acad. Sci. Hungar. 34/1-2 (1979) 223-232.
1978
Chehata, C.G. et Assem, I. : Functorial properties of the mixed limits functors, Studia Sci. Hungar. 13 (1978) 327-341.
Chapitre d'un ouvrage collectif
2000
Assem, I. : Carquois et algèbres, dans: Mathématiques, Enseignement des mathématiques: l’apport du XXème siècle, Actes du 42ème congrès de l’AMQ, Éd. Le Griffon d’argile (Sainte Foy, 2000) 281-293.
Livres parus
2022
Ibrahim Assem : Introduction au langage catégorique, Calvage & Mounet, Paris, 2022.
2021
Assem, I., Geiss, C. et Trepode, S., éd. : Advances in Representation Theory of Algebras, Contemporary Mathematics, Vol. 721, 257 pages..
Assem, I. : Algèbre linéaire, Presses Internationales Polytechnique (Montréal), 493 pages..
2020
Assem, I. et Coelho, F.U., : Basic Representation Theory of Algebras, Graduate Texts in Mathematics 283, Springer, 2020..
2018
Ibrahim Assem et Sonia Trepode, éditeurs : Homological Methods, Representation Theory, and Cluster Algebras, CRM short courses,Springer, 2018.
2017
Assem, I., et Bustamante, J.C. : Géométrie analytique, Presses Internationales Polytechniques (Montréal), 378 pages..
2009
Assem, I. et Leduc, P. Y. : Cours d’algèbre, Presses Internationales Polytechnique (Montréal), 2009, 694 pages.
2008
Assem, I., Cappa, J.-A., Platzeck, M.-I. et Verdecchia, M. : Modulos inclinantes y algebras inclinadas, Notas de Algebra y Analisis, No. 21, INMAB –CONICET, UNS, Bahia Blanca (Argentine) 2008.
2006
Assem, I., Simson, D. et Skowronski, A. : Elements of representation theory of associative algebras, London Math. Soc. Student Texts 65, Cambridge University Press (Cambridge) 2006.
1997
Assem, I. : Algèbres et modules, Série Enseignement des Mathématiques, Presses de l’Université d’Ottawa (Ottawa) / Masson (Paris), 1997.