Turkish Journal of Mathematics
Abstract
In this paper, we introduced and studied extended S-supplement submodules. A submodule U of a module V is called extended S-supplement submodule in V if there exists a submodule T of V such that V = T + U and U ∩ T is Goldie torsion. Extended S-supplement submodule is a dual notion of extended S-closed submodule. The class of extended S-supplement sequences is a proper class which is generated by nonsingular modules injectively. We studied coinjective objects of this class. Moreover, extended S-supplemented modules are also investigated. We present new characterizations of Z2(RR) -semiperfect rings and SI-rings by extended S-supplement submodules.
DOI
10.3906/mat-1907-107
Keywords
S-supplement submodules, Goldie torsion theory, coinjective modules
First Page
2833
Last Page
2841
Recommended Citation
DURĞUN, Y (2019). Extended S-supplement submodules. Turkish Journal of Mathematics 43 (6): 2833-2841. https://doi.org/10.3906/mat-1907-107
