In this paper, we introduce the concept of wsa-supplements and investigate the objects of
the class of short exact sequences determined by wsa-supplement submodules, where a …

Over an arbitrary ring, a module M is said to be Z∗ Z^ ∗-semilocal if every submodule U of M
has a Z∗ Z^ ∗-supplement V in M, ie, M= U+ V and U∩ V⊆ Z∗ V, U ∩\kern0. 5em V ⊆ Z^ ∗ …

In this essay we describe δss-lifting modules as a singular version of ss-lifting ones. The
focus of this study is to get a more general algebraic structure than ss-lifting modules. A …

Over an arbitrary ring, a module M is said to be Z∗-semilocal if every submodule U of M has
a Z∗-supplement V in M, ie, M= U+ V and U∩ V⊆ Z∗(V), where Z∗(V)=\{m\in V| Rm is a …

Bu çalışmada, küçük tümlenmiş modüller kullanılarak küçük radikal tümlenmiş modüller
tanımlanmıştır ve bu modüllerin çeşitli özellikleri elde edilmiştir. Her küçük tümlenmiş …

Over an arbitrary ring, a module $ M $ is said to be $\scr {Z^{\ast}} $-semilocal if every
submodule $ U $ of $ M $ has a $\scr {Z^{\ast}} $-supplement $ V $ in $ M $, ie, $ M= U+ V …