Coherent rings and absolutely pure covers

ABSTRACT

In this paper, we prove that a ring R is left coherent if and only if the class 𝒜bs of absolutely pure left R-modules is a covering class.

KEYWORDS:

• Absolutely pure module
• coherent ring
• cover

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 16D50
• 16P70

Acknowledgments

The authors wish to thank the referee for the valuable comments and suggestions in shaping the paper into its present form.