Geodesic
Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras
Nicole Snashall 1   ; Rachel Taillefer 2
1 Department of Mathematics University of Leicester University Road Leicester, LE1 7RH, England
2 PRES Université de Lyon Laboratoire de Mathématiques de l'Université de Saint-Étienne Jean Monnet 23 Rue Docteur Paul Michelon F-42023 Saint-Étienne Cedex 2, France
Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 79-93 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.
DOI : 10.4064/cm119-1-4
Keywords: consider socle deformations arising formal deformations class koszul self injective special biserial algebras which occur study drinfeld double generalized taft algebras these deformations hochschild cohomology ring modulo nilpotence finitely generated commutative algebra krull dimension

Nicole Snashall  1   ; Rachel Taillefer  2

1 Department of Mathematics University of Leicester University Road Leicester, LE1 7RH, England
2 PRES Université de Lyon Laboratoire de Mathématiques de l'Université de Saint-Étienne Jean Monnet 23 Rue Docteur Paul Michelon F-42023 Saint-Étienne Cedex 2, France 
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Nicole Snashall; Rachel Taillefer. Hochschild cohomology of socle deformations of
 a class of Koszul self-injective algebras. Colloquium Mathematicum, Tome 119 (2010) no. 1, pp. 79-93. doi: 10.4064/cm119-1-4

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