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Characterizations of right rejective chains

Part of: Representation theory of rings and algebras

Published online by Cambridge University Press:  14 July 2021

Mayu Tsukamoto
Mayu Tsukamoto*
Affiliation:
Graduate school of Sciences and Technology for Innovation, Yamaguchi University, 1677-1 Yoshida, Yamaguchi753-8512, Japan
*
e-mail: tsukamot@yamaguchi-u.ac.jp
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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.

Keywords

Right rejective subcategoriescoreflective subcategoriesright-strongly quasi-hereditary algebrasneat algebras

MSC classification

Primary: 16G10: Representations of Artinian rings
Type
Article
Information
Canadian Mathematical Bulletin , Volume 65 , Issue 3 , September 2022 , pp. 557 - 570
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Copyright
© Canadian Mathematical Society 2021

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