Finiteness conditions on the Yoneda algebra of a monomial algebra

Autores: Andrew Conner, Ellen Kirkman, James Kuzmanovich, W. Frank Moore
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 218, Nº 1, 2014, págs. 52-64
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.04.011
Enlaces
- Texto completo
Resumen
- Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph Ã (A) called the CPS graph of A. Finiteness properties of the Yoneda algebra ExtA(k, k) including Noetherianity, finite GK dimension, and finite generation are characterized in terms of Ã (A). We show that these properties, notably finite generation, can be checked by means of a terminating algorithm.