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Neutrosophic primary submodule, localization and residual quotients | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 53-73 اصل مقاله (173.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24631.1532 | ||
| نویسندگان | ||
| S. Azimi1؛ N. Zamani* 1؛ M. R. Hooshmandasl2؛ A. Khojali1 | ||
| 1Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran | ||
| 2Department of Computer Science, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity, $M$ be a unital $R$-module and let $L$ be a complete Heyting algebra. In this paper, among results on colon structures of $L$-neutrosophic submodules and $L$-neutrosophic ideals, we introduce and study the notion of primary (and prime) $L$-neutrosophic submodules and give connections with primary (prime) behavior of its $t$, $i$ and $f$ components. Then, for a multiplicatively closed subset $S$ of $R$, we define the notion of localization formation for an $L$-neutrosophic submodule $\lambda$ of $M$ and study its behavior. Some types of $L$-neutrosophic quotients will also be investigated. | ||
| کلیدواژهها | ||
| Neutrosophic modules؛ Neutrosophic Primary submodules؛ Residual quotients؛ LocalizationSingle valued neutrosophic subset | ||
| مراجع | ||
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