The canonical form of multiplication modules
Let $R$ be a commutative ring with unit. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$, there is an ideal $I$ of $R$ such that $N=IM$. $M$ is called also a CF-module if there is some ideals $I_1,...,I_n$ of $R$ such that $M \simeq R/I_1 \bigoplus R/I_2 \bigopl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2022-12-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52858 |