ON 2-ABSORBING MODULES OVER NONCOMMUTATIVE RINGS
| Autor: | Bac T. Nguyen, N. J. Groenewald |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Ring (mathematics) Pure mathematics Algebra and Number Theory Noncommutative ring Mathematics::Commutative Algebra Identity (philosophy) media_common.quotation_subject 2-Absorbing submodule strong 2-absorbing submodule prime submodule completely prime submodule Commutative ring Noncommutative geometry Commutative property media_common |
| Zdroj: | Volume: 25, Issue: 25 212-223 International Electronic Journal of Algebra |
| ISSN: | 1306-6048 |
| DOI: | 10.24330/ieja.504155 |
| Popis: | Let R be a noncommutative ring with identity. We de ne the notion of a 2-absorbing submodule and show that if the ring is commutative then the notion is the same as the original de nition of that of A. Darani and F. Soheilnia. We give an example to show that in general these two notions are di erent. Many properties of 2-absorbing submodules are proved which are similar to the results for commutative rings. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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