A family of examples of generalized perfect rings
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912783514206208 |
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| author | Aydoğdu, Pınar Herbera, Dolors |
| author_facet | Aydoğdu, Pınar Herbera, Dolors |
| contents | We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by a small submodule. This answers in the negative a question posed by A.~Amini, B.~Amini, M.~Ershad and H.~Sharif (2007). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19813 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A family of examples of generalized perfect rings Aydoğdu, Pınar Herbera, Dolors Rings and Algebras 16D40, 16E99 We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by a small submodule. This answers in the negative a question posed by A.~Amini, B.~Amini, M.~Ershad and H.~Sharif (2007). |
| title | A family of examples of generalized perfect rings |
| topic | Rings and Algebras 16D40, 16E99 |
| url | https://arxiv.org/abs/2512.19813 |