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Absolute co-supplement and absolute co-coclosed modules
(Hacettepe Üniversitesi, 2013)
A module M is called an absolute co-coclosed (absolute co-supplement) module if whenever M ≅ T/X the submodule X of T is a coclosed (supplement) submodule of T. Rings for which all modules are absolute co-coclosed (absolute ...
Small supplements, weak supplements and proper classes
(Hacettepe Üniversitesi, 2016)
Let SS denote the class of short exact sequences E:0 → Af→ B → C → 0 of R-modules and R-module homomorphisms such that f(A) has a small supplement in B i.e. there exists a submodule K of M such that f(A) + K = B and f(A) ...