On uniformly S-coherent rings
Abstract
In this paper, we introduce and study the notions of uniformly S-finitely presented modules and uniformly S-coherent rings (modules) which are "uniform" versions of (c-)S-finitely presented modules and (c-)S-coherent rings (modules) introduced by Bennis and Hajoui bh18. Among the results, uniformly S-versions of Chase's result, Chase Theorem and Matlis Theorem are obtained.
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