Critical Modules of the Ring of Differential Operators of an Affine Semigroup Algebra

Abstract

Abstract. Let D be the ring of differential operators of an affine semigroup algebra. Regarding the Krull dimension of finitely generatedMoreover we explicitly describe cyclic ones. (2000): Primary 13N10; Secondary 16S32. Mathematics Subject Classification

The Spectrum of the Graded Ring of Differential Operators of a Scored Semigroup Algebra

“…(See for example (Goodearl, Warfield, 1989;Lenagan, 2000;McConnel, Robson, 1987).) In this section, we recall the critical Z d -graded D(R A )-modules studied in (Saito, 2008). (Saito, 2008, Theorem 6.1).…”