C4- and D4-Modules via perspective direct summands

ABSTRACT

In this article, we study the C4- and D4-modules in terms of perspective direct summands, providing new characterizations and results. Endomorphism rings of C4-modules and extensions of right C4-rings are also investigated. Decompositions of C4-modules with restricted ACC on direct summands and D4-modules with restricted DCC on direct summands are obtained.

KEYWORDS:

• Quasi-continuous and quasi-discrete modules
• C3- and D3-modules
• perspective direct summands

2000 MATHEMATICS SUBJECT CLASSIFICATION:

• 16D10
• 16D70
• 16D50

Acknowledgment

We thank the anonymous referee for carefully reading the manuscript, and making very helpful suggestions that improved the paper.