Finiteness conditions on the Yoneda algebra of a monomial algebra

被引：2

作者：

Conner, Andrew ^{[1
]}

Kirkman, Ellen ^{[1
]}

Kuzmanovich, James ^{[1
]}

Moore, W. Frank ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2014年 / 218卷 / 01期

关键词：

POINCARE-SERIES; RING;

D O I：

10.1016/j.jpaa.2013.04.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph Gamma (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 Gamma (A). We show that these properties, notably finite generation, can be checked by means of a terminating algorithm. (C) 2013 Elsevier B.V. All rights reserved.

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页码：52 / 64

页数：13

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