Article ID Journal Published Year Pages File Type
4597136 Journal of Pure and Applied Algebra 2011 7 Pages PDF
Abstract

We prove that the Auslander–Reiten conjecture holds for commutative standard graded artinian algebras, in two situations: the first is under the assumption that the modules considered are graded and generated in a single degree. The second is under the assumption that the algebra is generic Gorenstein of socle degree 3.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory