Self-absolutely-clean dimension over generalized coherent rings

Communications in Algebra 2026

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Authors: J. X. Wang, Gang Yang, Renyu Zhao
DOI: 10.1080/00927872.2025.2587189
Cited by: 0
References: 18

Abstract

For a two-sided Noetherian ring R, it is known that the self-injective dimension on the left is finite if and only if the self-injective dimension on the right is finite whenever R admits finite fintistic flat dimension on both sides. In this paper, we obtain a generalized coherent ring (i.e., a ring such that all level left and right modules have finite flat dimension) version of this result. As applications, we prove that the fintistic flat dimension of rings is not left-right symmetric.

Fields of Study & Subjects

Rings Modules and Algebras Algebraic structures and combinatorial models advanced mathematical theories

Publication details

Journal / source
Communications in Algebra
Volume
54
Issue
6
Pages
2649–2659
Publication date
4 January 2026
Language
EN