On the Gorenstein locus of simplicial affine semigroup rings. Issue 9 (2nd September 2022)

• Record Type: Journal Article
• Authors: Jafari, Raheleh; Taherizadeh, Abdoljavad; Yaghmaei, Marjan
• Is Part Of: Communications in algebra. Volume 50:Issue 9(2022)
• Page Start: 4032
• Page End: 4039
• Publication Date: 2022-09-02
• Subjects: Apéry set -- Gorenstein rings -- homogeneous loculization -- simplicial affine semigroup; 13H10 -- 20M25 -- 05E40; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2022.2057513
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: We study the Gorenstein locus of simplicial affine semigroup rings in terms of some Apéry sets. The results come from an analysis of Cohen-Macaulay type of homogeneous localizations at monomial prime ideals. Characterizing when the homogeneous localization at a monomial prime ideal is Gorenstein, we can read the dimension of the non-Gorenstein locus. In particular, we determine when the semigroup ring is Gorenstein on the punctured spectrum.