The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring
The aim of this paper is to construct fraction of $\Gamma$-module over commutative $\Gamma$-ring. There should be an appropriate set $S$ of elements in a $\Gamma$-ring $R$ to be used as $\Gamma$-module of fractions. Then we study the homomorphisms of $\Gamma$-module which can lead to related basic r...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2023-11-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3820_1e8841d0a826b9ca0aedde4955e8981c.pdf |
| Summary: | The aim of this paper is to construct fraction of $\Gamma$-module over commutative $\Gamma$-ring. There should be an appropriate set $S$ of elements in a $\Gamma$-ring $R$ to be used as $\Gamma$-module of fractions. Then we study the homomorphisms of $\Gamma$-module which can lead to related basic results. We show that for every $\Gamma$-module $M$, $S^{-1}(0:_R M)=(0:_{S^{-1}R} S^{-1}M).$ Also, if $M$ is a finitely generated $R_\Gamma$-module, then $S^{-1}M$ is finitely generated. |
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| ISSN: | 2251-7952 2645-4505 |