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http://dx.doi.org/10.4134/BKMS.b200128

SA-SUPPLEMENT SUBMODULES  

Durgun, Yilmaz (Department of Mathematics Cukurova University)
Publication Information
Bulletin of the Korean Mathematical Society / v.58, no.1, 2021 , pp. 147-161 More about this Journal
Abstract
In this paper, we introduced and studied sa-supplement submodules. A submodule U of a module V is called an sa-supplement submodule in V if there exists a submodule T of V such that V = T + U and U ∩ T is semiartinian. The class of sa-supplement sequences ������ is a proper class which is generated by socle-free modules injectively. We studied modules that have an sa-supplement in every extension, modules whose all submodules are sa-supplement and modules whose all sa-supplement submodules are direct summand. We provided new characterizations of right semiartinian rings and right SSI rings.
Keywords
Proper class of short exact sequences; sa-supplement submodule; sa-supplementing modules; semiartinian modules;
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