Extended S-supplement submodules

In this paper, we introduced and studied extended S-supplement submodules. A submodule U of a moduleV is called extended S-supplement submodule in V if there exists a submodule T of V such that V = T + U andU ∩ T is Goldie torsion. Extended S-supplement submodule is a dual notion of extended S-closed submodule. The classof extended S-supplement sequences is a proper class which is generated by nonsingular modules injectively. We studiedcoinjective objects of this class. Moreover, extended S-supplemented modules are also investigated. We present newcharacterizations of $Z_2(R_R)$ -semiperfect rings and SI-rings by extended S-supplement submodules.

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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