Finiteness conditions on the Yoneda algebra of a monomial algebra

Andrew Conner; Ellen Kirkman; James Kuzmanovich; W. Frank Moore

arxiv: 1210.3389 · v1 · pith:OXXOO6EQnew · submitted 2012-10-11 · 🧮 math.RA

Finiteness conditions on the Yoneda algebra of a monomial algebra

Andrew Conner , Ellen Kirkman , James Kuzmanovich , W. Frank Moore This is my paper

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keywords algebrafinitefinitenessgammagenerationgraphmonomialproperties

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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 these properties, notably finite generation, can be checked by means of a terminating algorithm.

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Finiteness conditions on the Yoneda algebra of a monomial algebra

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