Cofinitely Weak e-Supplemented Modules

Yıl 2020, Cilt: 3 Sayı: 1, 24 - 28, 15.12.2020

Berna Koşar

Öz

In this work, R will denote an associative ring with unity and all module are unital left R􀀀modules. Let M be an R-module. If every cofinite essential submodule of M has a weak supplement in M, then M is called a cofinitely weak esupplemented (or briefly cwe-supplemented) module. In this work, some properties of these modules are investigated. Every cofinitely essential supplemented module is cwe-supplemented. Every essential supplemented module is cwe-supplemented. Every weakly essential supplemented module is cwe-supplemented. Every finitely generated cwe-supplemented module is weakly essential supplemented. Every cofinitely weak supplemented module is cwe-supplemented.

Anahtar Kelimeler

Cofinite Submodules, Essential Submodules, Small Submodules, Supplemented Modules

Kaynakça

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