On the Hochschild cohomology ring of tensor products of algebras

2014 ◽  
Vol 218 (8) ◽  
pp. 1463-1477 ◽  
Author(s):  
Jue Le ◽  
Guodong Zhou
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Tensor Products ◽  
Hochschild Cohomology Ring

scholarly journals Comparison morphisms and the Hochschild cohomology ring of truncated quiver algebras

2009 ◽  
Vol 322 (5) ◽  
pp. 1466-1497 ◽  
Author(s):  
Guillermo Ames ◽  
Leandro Cagliero ◽  
Paulo Tirao
Keyword(s):  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Hochschild Cohomology Ring

scholarly journals Hochschild cohomology ring of the modular group

2014 ◽  
Vol 26 (1) ◽  
pp. 1-25
Author(s):  
A. P. Alekhin ◽  
Yu. V. Volkov ◽  
A. I. Generalov
Keyword(s):  
Modular Group ◽  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Hochschild Cohomology Ring

scholarly journals THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS

2010 ◽  
Vol 09 (01) ◽  
pp. 73-122 ◽  
Author(s):  
NICOLE SNASHALL ◽  
RACHEL TAILLEFER
Keyword(s):  
London Math ◽  
Hochschild Cohomology ◽  
Cohomology Ring ◽  
Krull Dimension ◽  
Finitely Generated ◽  
Cohomology Rings ◽  
Hochschild Cohomology Ring ◽  
Special Biserial Algebras ◽  
Support Varieties

We consider a class of self-injective special biserial algebras ΛN over a field K and show that the Hochschild cohomology ring of dΛN is a finitely generated K-algebra. Moreover, the Hochschild cohomology ring of ΛN modulo nilpotence is a finitely generated commutative K-algebra of Krull dimension two. As a consequence the conjecture of [N. Snashall and Ø. Solberg, Support varieties and Hochschild cohomology rings, Proc. London Math. Soc.88 (2004) 705–732], concerning the Hochschild cohomology ring modulo nilpotence, holds for this class of algebras.

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