R-annihilator-Coessential and R-annihilator-Coclosed Submodules
Autor: | Alaa A. Elewi, Omar K. Ibrahim |
---|---|
Rok vydání: | 2020 |
Předmět: |
Annihilator
Identity (mathematics) Ring (mathematics) Pure mathematics Mathematics::Commutative Algebra General Computer Science Mathematics::Rings and Algebras General Chemistry Mathematics::Representation Theory Unitary state General Biochemistry Genetics and Molecular Biology Associative property Mathematics |
Zdroj: | Iraqi Journal of Science. :820-823 |
ISSN: | 2312-1637 0067-2904 |
DOI: | 10.24996/ijs.2020.61.4.14 |
Popis: | Let be a unitary left R-module on associative ring with identity. A submodule of is called -annihilator small if , where is a submodule of , implies that ann( )=0, where ann( ) indicates annihilator of in . In this paper, we introduce the concepts of -annihilator-coessential and - annihilator - coclosed submodules. We give many properties related with these types of submodules. |
Databáze: | OpenAIRE |
Externí odkaz: |