Finiteness conditions on the Yoneda algebra of a monomial algebra
Abstract
Let A be a connected graded noncommutative monomial algebra. We associate to A a finite graph (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 (A). We show these properties, notably finite generation, can be checked by means of a terminating algorithm.
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