A Variation of Coretractable Modules

作者：Ertas Nil Orhan; Tutuncu Derya Keskin; Tribak Rachid^*

来源：Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41(3): 1275-1291.

DOI：10.1007/s40840-016-0390-7

• Coretractable modules
• s-Coretractable modules
• Supplement (complement) submodules

A right R-module M is called coretractable (s-coretractable) if Hom(M/K, M) not equal 0 for any proper submodule (supplement submodule) K of M. In this article, we continue the study of coretractable modules. Then we study s-coretractable modules. It is shown that this property is not inherited by direct summands and a direct sum of s-coretractable modules may not be s-coretractable. Examples are provided to illustrate and delineate the results.

• 出版日期2018-7