Details:
Title | Finiteness conditions on the Yoneda algebra of a monomial algebra | Author(s) | Andrew Conner, Ellen Kirkman, James Kuzmanovich, W. Frank Moore | Type | Article in Journal | Abstract | Abstract 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. | ISSN | 0022-4049 |
URL |
http://www.sciencedirect.com/science/article/pii/S0022404913000741 |
Language | English | Journal | Journal of Pure and Applied Algebra | Volume | 218 | Number | 1 | Pages | 52 - 64 | Year | 2014 | Edition | 0 | Translation |
No | Refereed |
No |
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