Year: 2026
Type: article
Abstract: In this paper, we show that a ring [Formula: see text] is [Formula: see text]-coherent if and only if every finitely presented [Formula: see text]-module is [Formula: see text]-coherent, providing a positive answer to a question proposed in [D. Bennis and M. El Hajoui, On [Formula: see text]-coherence, J. Korean Math. Soc. 55(6) (2018) 1499–1512]. Besides, we show that [Formula: see text]-[Formula: see text]-coherent rings are [Formula: see text]-coherent, and give an example to show the converse is not true in general.
Author: Xiaolei Zhang
Institution: Tianshui Normal University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7131782940
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