Title: The Hochschild Cohomology Ring of a One Point Extension
Abstract:Abstract This paper studies the ring structure of the Hochschild cohomology ring of an algebra. The first main result gives a ring homomorphism from the Hochschild cohomology ring of an algebra A to t...Abstract This paper studies the ring structure of the Hochschild cohomology ring of an algebra. The first main result gives a ring homomorphism from the Hochschild cohomology ring of an algebra A to the Ext-algebra of an A-module. Then, for a one point extension B of a finite dimensional algebra A, we relate the ring structures of the Hochschild cohomology rings of A and B thus giving a method of constructing algebras with non-trivial ring structure on the Hochschild cohomology ring.Read More
Publication Year: 2003
Publication Date: 2003-01-04
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 25
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