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Tensor structure on kC-mod and cohomology
Published online by Cambridge University Press: 05 December 2012
Abstract
Let be a finite category and let k be a field. We consider the category algebra and show that -mod is closed symmetric monoidal. Through comparing with a co-commutative bialgebra, we exhibit the similarities and differences between them in terms of homological properties. In particular, we give a module-theoretic approach to the multiplicative structure of the cohomology rings of small categories. As an application, we prove that the Hochschild cohomology rings of a certain type of finite category algebras are finitely generated.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 1 , February 2013 , pp. 349 - 370
- Copyright
- Copyright © Edinburgh Mathematical Society 2012
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