F-µ-Semiregular Modules
| Autor: | Wasan Khalid, Eman Abdullah Mohammed |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Iraqi Journal of Science. :1271-1275 |
| ISSN: | 2312-1637 0067-2904 |
| DOI: | 10.24996/ijs.2021.62.4.22 |
| Popis: | Let R be an associative ring with identity and let M be a left R-module . As a generalization of µ-semiregular modules, we introduce an F-µ-semiregular module. Let F be a submodule of M and x∊M. x is called F-µ-semiregular element in M , if there exists a decomposition M=A⨁B, such that A is a projective submodule of and . M is called F-µ-semiregular if x is F-µ-semiregular element for each x∊M. A condition under which the module µ-semiregular is F-µ-semiregular module was given. The basic properties and some characterizations of the F-µ-semiregular module were provided. |
| Databáze: | OpenAIRE |
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