Article
| Title: | $n$-submodules of modules over commutative rings (English) |
| Author: | Karimzadeh, Somayeh |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 75 |
| Issue: | 4 |
| Year: | 2025 |
| Pages: | 1411-1429 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We explore the existence of $ n $-submodules in the context of module theory. Then we generalize our results by considering an additive, left-exact functor $F$ defined on the category of modules, which is either covariant or contravariant, and preserves multiplications. Within this broader framework, we identify and characterize an $n$-submodule of $F(M)$, derived from the structure of $M$ and the action of the functor $F$. (English) |
| Keyword: | $n$-submodule |
| Keyword: | secondary module |
| Keyword: | functor |
| Keyword: | category |
| MSC: | 13C99 |
| MSC: | 13Cxx |
| MSC: | 18C40 |
| DOI: | 10.21136/CMJ.2025.0252-25 |
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| Date available: | 2025-12-20T07:57:55Z |
| Last updated: | 2025-12-22 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/153250 |
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