Article
| Title: | Characterizations of incidence modules (English) |
| Author: | Ullah, Naseer |
| Author: | Yao, Hailou |
| Author: | Yuan, Qianqian |
| Author: | Azam, Muhammad |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 4 |
| Year: | 2024 |
| Pages: | 1127-1144 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $R$ be an associative ring and $M$ be a left $R$-module. We introduce the concept of the incidence module $I(X, M)$ of a locally finite partially ordered set $X$ over $M$. We study the properties of $I(X, M)$ and give the necessary and sufficient conditions for the incidence module to be an IN-module, \EIN -module, nil injective module and nonsingular module, respectively. Furthermore, we show that the class of \EIN -modules is closed under direct product and upper triangular matrix modules. (English) |
| Keyword: | Ikeda Nakayama module |
| Keyword: | essential Ikeda Nakayama module |
| Keyword: | nil injective |
| Keyword: | nonsingular |
| MSC: | 13C13 |
| MSC: | 16D70 |
| MSC: | 16D80 |
| MSC: | 16D99 |
| DOI: | 10.21136/CMJ.2024.0092-24 |
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| Date available: | 2024-12-15T06:37:37Z |
| Last updated: | 2024-12-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152693 |
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