-Semilocal Modules and the Proper Class

E Türkmen - Ukrainian Mathematical Journal, 2019 - Springer
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^ ∗ …

[Z. sup.*]-SEMILOCAL MODULES AND THE PROPER CLASS RS.

E Turkmen - Ukrainian Mathematical Journal, 2019 - go.gale.com
Over an arbitrary ring, a module M is said to be [Z. sup.*]-semilocal if every submodule U of
M has a [Z. sup.*]--supplement V in M, ie, M= U+ V and U [intersection] V [subset or equal …