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On $(\sigma,\delta)$-skew McCoy modules | ||
| Journal of Algebra and Related Topics | ||
| دوره 8، شماره 2، اسفند 2020، صفحه 23-37 اصل مقاله (325.43 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2020.11937.1132 | ||
| نویسندگان | ||
| M. Louzari* 1؛ L. Ben Yakoub* 2 | ||
| 1Department of mathematics, Faculty of Sciences, Abdelmalek Essaadi University, Tetouan, Morocco. | ||
| 2Department of Mathematics, University Abdelmalek Essaadi, Tetouan, Morocco. | ||
| چکیده | ||
| Let $(\sigma,\delta)$ be a quasi derivation of a ring $R$ and $M_R$ a right $R$-module. In this paper, we introduce the notion of $(\sigma,\delta)$-skew McCoy modules which extends the notion of McCoy modules and $\sigma$-skew McCoy modules. This concept can be regarded also as a generalization of $(\sigma,\delta)$-skew Armendariz modules. We study some connections between reduced modules, semicommutative modules, $(\sigma,\delta)$-compatible modules and $(\sigma,\delta)$-skew McCoy modules. Furthermore, we will give some results showing that the property of being an $(\sigma,\delta)$-skew McCoy module transfers well from a module $M_R$ to its skew triangular matrix extensions and vice versa. | ||
| کلیدواژهها | ||
| McCoy module؛ skew McCoy module؛ semicommutative module؛ Armendariz module؛ reduced module | ||
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آمار تعداد مشاهده مقاله: 805 تعداد دریافت فایل اصل مقاله: 947 |
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