Abstract
In this paper, we introduce Matlis flat modules as a generalization of copure flat modules and give their characterizations. We prove that if $R$ is a commutative Artinian ring and $S \subset R$ is a multiplicative set, then $S^{-1}M$ is a Matlis flat $S^{-1}R$-module for any Matlis flat $R$-module $M$. Also we prove that every module has Matlis flat preenvelope over commutative Artinian rings.
Citation
C. Selvaraj. P. Prabakaran. "Matlis flat modules." Tbilisi Math. J. 9 (2) 105 - 114, December 2016. https://doi.org/10.1515/tmj-2016-0023
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