Classification of multiplication modules over multiplication rings with finitely many minimal primes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909475038822400 |
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| author | Bavula, Volodymyr |
| author_facet | Bavula, Volodymyr |
| contents | A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many minimal primes is given via faithful, Noetherian, distributive modules. It is proven that for a multiplication ring with finitely many minimal primes every faithful, Noetherian, distributive module is a faithful multiplication module, and vice versa. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17170 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of multiplication modules over multiplication rings with finitely many minimal primes Bavula, Volodymyr Rings and Algebras 13C05, 13E05, 13F05, 13F10 A classification of multiplication modules over multiplication rings with finitely many minimal primes is obtained. A characterisation of multiplication rings with finitely many minimal primes is given via faithful, Noetherian, distributive modules. It is proven that for a multiplication ring with finitely many minimal primes every faithful, Noetherian, distributive module is a faithful multiplication module, and vice versa. |
| title | Classification of multiplication modules over multiplication rings with finitely many minimal primes |
| topic | Rings and Algebras 13C05, 13E05, 13F05, 13F10 |
| url | https://arxiv.org/abs/2312.17170 |