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TitleFiniteness conditions on the Yoneda algebra of a monomial algebra
Author(s) Andrew Conner, Ellen Kirkman, James Kuzmanovich, W. Frank Moore
TypeArticle in Journal
AbstractAbstract Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph Γ ( A ) called the CPS graph of A . Finiteness properties of the Yoneda algebra Ext A ( k , k ) including Noetherianity, finite GK dimension, and finite generation are characterized in terms of Γ ( A ) . We show that these properties, notably finite generation, can be checked by means of a terminating algorithm.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404913000741
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume218
Number1
Pages52 - 64
Year2014
Edition0
Translation No
Refereed No
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