MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.9, pp.7693-7696, 2021 (SCI-Expanded)
Article / Article
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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cofinitely g-supplemented modules, g-supplemented modules, small submodules, supplemented modules
Ondokuz Mayıs University Affiliated:
In this work, all rings have unity and all modules are unital left modules. Let M be an R-module. If every cofinite submodule of M has a g-radical supplement in M, then M is called a cofinitely g-radical supplemented module. In this work, some properties of cofinitely g-radical supplemented modules are investigated. It is clear that every cofinitely g-supplemented module is cofinitely g-radical supplemented. Hence, cofinitely g-radical supplemented modules are more general than cofinitely g-supplemented modules.