A description of Gorenstein projective modules over the tensor products of algebras. Issue 7 (3rd July 2019)

• Record Type: Journal Article
• Authors: Shen, Dawei
• Is Part Of: Communications in algebra. Volume 47:Issue 7(2019)
• Page Start: 2753
• Page End: 2765
• Publication Date: 2019-07-03
• Subjects: Gorenstein algebra -- Gorenstein projective module -- tensor product of algebras; Primary 16G10 -- Secondary 16D40; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2018.1539172
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Let A be a two-sided coherent algebra over a field k and B be a finite-dimensional algebra. If B is Gorenstein, we give a description of finitely presented Gorenstein projective modules over the tensor product of A and B in terms of their underlying modules over A and B . If B has finite global dimension, we also give another description.