Characterizations of regular modules
| Autor: | Kimuli, Philly Ivan, Ssevviiri, David |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | International Electronic Journal of Algebra, 2022 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.24330/ieja.1224782 |
| Popis: | Different and distinct notions of regularity for modules exist in the literature. When these notions are restricted to commutative rings, they all coincide with the well-known von-Neumann regularity for rings. We give new characterizations of these distinct notions for modules in terms of both (weakly-)morphic modules and reduced modules. Furthermore, module theoretic settings are established where these in general distinct notions turn out to be indistinguishable. Comment: 19 pages |
| Databáze: | arXiv |
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