most recent 30 from http://mathoverflow.net 2013-05-23T20:30:35Z http://mathoverflow.net/feeds/question/112558 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/112558/boundedness-of-modules-on-as-regular-algebras Muon 2012-11-16T07:10:47Z 2012-11-16T07:10:47Z

<p>Let $k$ be an algebraically closed field and $A$ be an Artin-Shelter regular $k$-algebra. Fix a numerical polynomial $H(t)$. I would like to know whether or not semi-stable f.g. graded $A$-modules with Hilbert polynomial $H(t)$ is bounded. More precisely we regard g.f. graded modules $M$ and $N$ as isomorphic is they are isomorphic up to torsion modules. Semi-stability and boundedness are defined in the same manner as commutative case. </p> <p>The boundedness may not be hold for general AS regular algebras, but then I would like to know for which class of algebra this kind of boundedness result hold. I would appreciate any reference, comments and suggestion. </p>