A Variation of Coretractable Modules

ORHAN ERTAŞ, NİL; KESKİN TÜTÜNCÜ, DERYA; Tribak, Rachid

doi:10.1007/s40840-016-0390-7

A Variation of Coretractable Modules

ORHAN ERTAŞ N., KESKİN TÜTÜNCÜ D., Tribak R.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.41, sa.3, ss.1275-1291, 2018 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 41 Sayı: 3
Basım Tarihi: 2018
Doi Numarası: 10.1007/s40840-016-0390-7
Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1275-1291
Hacettepe Üniversitesi Adresli: Evet

Özet

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.