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
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• Resumen

  • Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph à (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 à (A). We show that these properties, notably finite generation, can be checked by means of a terminating algorithm.