Finite generation of the cohomology rings for the extension algebras of monomial algebras

Author:

Shi Hongbo1ORCID

Affiliation:

1. Mathematics Department, Nanjing University of Finance and Economics, Nanjing 210046, P. R. China

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 [Formula: see text] is finitely generated [Formula: see text] is [Formula: see text] is, where [Formula: see text] is the dual extension of a monomial algebra A and [Formula: see text] is the opposite algebra of A.

Funder

nanjing university of finance and economics

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

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