Article
| Title: | Semi $n$-submodules of modules over commutative rings (English) |
| Author: | Khashan, Hani A. |
| Author: | Yetkin Çelikel, Ece |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 76 |
| Issue: | 1 |
| Year: | 2026 |
| Pages: | 269-286 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $R$ be a commutative ring with identity and $M$ a unitary $R$-module. The purpose of this paper is to introduce the concept of semi-$n$-submodules as an extension of semi $n$-ideals and $n$-submodules. A proper submodule $N$ of $M$ is called a semi $n$-submodule if whenever $r\in R$, $m\in M$ with $r^{2}m\in N$, $r\notin \sqrt {0}$ and ${\rm Ann}_{R}(m)=0$, then $rm\in N$. Several properties, characterizations of this class of submodules with many supporting examples are presented. Furthermore, semi $n$-submodules of amalgamated modules are investigated. (English) |
| Keyword: | semi $n$-ideal |
| Keyword: | $n$-ideal |
| Keyword: | $n$-submodule |
| Keyword: | semi $n$-submodule |
| MSC: | 13A15 |
| MSC: | 13A99 |
| DOI: | 10.21136/CMJ.2026.0347-25 |
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| Date available: | 2026-03-13T09:33:55Z |
| Last updated: | 2026-03-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153572 |
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