A note on Gorenstein projective and Gorenstein flat modules
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Published:2023-07-20
Issue:
Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Affiliation:
1. School of Mathematics and Information Engineering, Longdong University, Qingyang 745000, P. R. China
Abstract
We prove that all Gorenstein projective modules are Gorenstein flat if and only each Gorenstein projective module has finite Gorenstein flat dimension. As applications, some characterizations of strongly CM-free rings are established and an affirmative answer to a question posed by Wang [Colloq. Math. 170 (2022) 1–13] is obtained.
Funder
Natural Science Foundation of Gansu Province of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory