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Amjadi, Leila, Ghadiri, Mansoor, Mirvakili, Saeed. (1402). The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring. , 13(1), 251-267. doi: 10.22103/jmmr.2023.20890.1390
Leila Amjadi; Mansoor Ghadiri; Saeed Mirvakili. "The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring". , 13, 1, 1402, 251-267. doi: 10.22103/jmmr.2023.20890.1390
Amjadi, Leila, Ghadiri, Mansoor, Mirvakili, Saeed. (1402). 'The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring', , 13(1), pp. 251-267. doi: 10.22103/jmmr.2023.20890.1390
Amjadi, Leila, Ghadiri, Mansoor, Mirvakili, Saeed. The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring. , 1402; 13(1): 251-267. doi: 10.22103/jmmr.2023.20890.1390

The construction of fractions of $\Gamma$-module over commutative $\Gamma$-ring

Journal of Mahani Mathematical Research
دوره 13، شماره 1 - شماره پیاپی 26، بهمن 2023، صفحه 251-267    اصل مقاله (364.84 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2023.20890.1390
نویسندگان
Leila Amjadi1؛ Mansoor Ghadiri* 1؛ Saeed Mirvakili2
1Department of Mathematical Sciences, Yazd University, Yazd, Iran
2Department of Mathematics, Payame Noor University, Tehran, Iran
چکیده
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. 
کلیدواژه‌ها
Gamma ring of fraction؛ gamma module of fraction؛ finitely generated gamma module
مراجع
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