Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1912-100
Keywords
Max CS modules, min CS modules, max-min CS rings, nonsingular modules, duo modules
First Page
1171
Last Page
1180
Recommended Citation
TU, T. D, & DO, T (2020). Max CS and min CS modules. Turkish Journal of Mathematics 44 (4): 1171-1180. https://doi.org/10.3906/mat-1912-100
