On Z-Symmetric Rings
| Autor: | Avanish Kumar Chaturvedi, Nirbhay Kumar, K. P. Shum |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Mathematica Slovaca. 71:1361-1374 |
| ISSN: | 1337-2211 0139-9918 |
| DOI: | 10.1515/ms-2021-0058 |
| Popis: | We introduce the concept of Z-symmetric rings. In fact, the classes of all semicommutative rings, nil rings, reduced rings, Artinian rings and eversible rings are Z-symmetric rings. In order to sustain our assertion, we provide a number of examples of Z-symmetric and non Z-symmetric rings. We observe that the class of Z-symmetric rings lies strictly between the classes of eversible rings and the Dedekind finite rings. In particular, we consider the extensions of Z-symmetric rings. Finally, some new results between the Z-symmetric rings and Armendariz rings will be explored and investigated. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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