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- Title
Finite generation of the cohomology rings for the extension algebras of monomial algebras.
- Authors
Shi, Hongbo
- Abstract
We describe the cohomology ring of a monomial algebra in the language of dimension tree or minimal resolution graph and in this context we study the finite generation of the cohomology rings of the extension algebras, showing among others that the cohomology ring E (Λ) is finitely generated ⇔ E (A) is ⇔ E (A ∗) is, where Λ is the dual extension of a monomial algebra A and A ∗ is the opposite algebra of A.
- Subjects
RING extensions (Algebra); RING theory; ALGEBRA; POLYNOMIAL rings; FINITE, The; TREE-rings
- Publication
Journal of Algebra & Its Applications, 2023, Vol 22, Issue 3, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498823500718