Characterizations of right rejective chains. Issue 3 (14th September 2022)

• Record Type: Journal Article
• Authors: Tsukamoto, Mayu
• Is Part Of: Canadian mathematical bulletin =. Volume 65:Issue 3(2022)
• Page Start: 557
• Page End: 570
• Publication Date: 2022-09-14
• Subjects: 16G10; Right rejective subcategories -- coreflective subcategories -- right-strongly quasi-hereditary algebras -- neat algebras; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.4153/S0008439521000540
• Languages: English
• ISSNs: 0008-4395

Abstract

Abstract: In this paper, we give characterizations of the category of finitely generated projective modules having a right rejective chain. By focusing on the characterizations, we give sufficient conditions for right rejective chains to be total right rejective chains. Moreover, we prove that Nakayama algebras with heredity ideals, locally hereditary algebras and algebras of global dimension at most two satisfy the sufficient conditions. As an application, we show that these algebras are right-strongly quasi-hereditary algebras.