Özet

We introduce Rad-cc-supplemented module which generalizes the general concept of co-coatomically-supplemented modules; a module W is Rad-cc-supplemented if each co-coatomic submodule of W has a Rad-supplement in W. In Section 2, we present various properties of these modules. In Section 3, we examine the characterization of modules over commutative domains. In Section 4, we explore the concept of⊕-Rad-cc-supplemented modules, which generalizes a generalized notion of⊕-co-coatomically-supplemented modules in R. Alizade, S. Güngör (2018). A module W is⊕-Rad-cc-supplemented if each co-coatomic A⩽ W is of a Rad-supplement which is a direct summand of W. In the concluding section of this paper, we investigate into its characteristics by introducing Rad-cc-semiperfect modules.

Anahtar Kelimeler

co-coatomic submodules | Rad-cc-supplemented modules | totally Rad-cc-supplemented modules

Atıf Sayıları
Web of Science	1
Google Scholar	1

On Module Classes of Generalized Semiperfect Modules

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