Article
| Title: | Maximal non-$\phi $-Mori subrings of a ring (English) |
| Author: | Kumar, Rahul |
| Author: | Singh, Anant |
| Author: | Gaur, Atul |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 3 |
| Year: | 2025 |
| Pages: | 943-953 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $\mathcal {H}$ be the set of all commutative rings with unity whose nilradical is a divided prime ideal. The concept of maximal non-$\phi $-Mori subrings of a ring is introduced to generalize the concept of maximal non-Mori subrings of domain. A proper subring $R$ of a ring $T\in \mathcal {H}$ is called a maximal non-$\phi $-Mori subring if $R$ is not a $\phi $-Mori ring but each subring of $T$ properly containing $R$ is a $\phi $-Mori ring. (English) |
| Keyword: | maximal non-$\phi $-Mori ring |
| Keyword: | maximal non-Mori ring |
| Keyword: | normal pair |
| MSC: | 13A18 |
| MSC: | 13B22 |
| MSC: | 13B99 |
| DOI: | 10.21136/CMJ.2025.0506-24 |
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| Date available: | 2025-09-19T11:58:33Z |
| Last updated: | 2025-09-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153060 |
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