Max CS and min CS modules

Authors

TRUONG DINH TU
THUAT DO

DOI

10.3906/mat-1912-100

Abstract

In this work, we study max CS, min CS, max-min CS modules and their endomorphism rings. Under certain conditions (e.g., related to nonsingularity and duo-ness), we prove that a module is max CS if and only if it is min CS, and that direct sums of min (max) CS modules is again min (max) CS. Finally, symmetry of max-min CS property on the endomorphism rings of max-min CS modules is investigated.

Keywords

Max CS modules, min CS modules, max-min CS rings, nonsingular modules, duo modules

First Page

1171

Last Page

1180

Recommended Citation

TU, TRUONG DINH and DO, THUAT (2020) "Max CS and min CS modules," Turkish Journal of Mathematics: Vol. 44: No. 4, Article 7. https://doi.org/10.3906/mat-1912-100
Available at: https://journals.tubitak.gov.tr/math/vol44/iss4/7