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Neutrosophic primary submodule, localization and residual quotients

Publish Year: 1404
Type: Journal paper
Language: English
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JR_JART-12-2_006

Index date: 25 January 2025

Neutrosophic primary submodule, localization and residual quotients abstract

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.

Neutrosophic primary submodule, localization and residual quotients Keywords:

Neutrosophic primary submodule, localization and residual quotients authors

S. Azimi

Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran

N. Zamani

Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran

M. R. Hooshmandasl

Department of Computer Science, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran

A. Khojali

Department of Mathematics, Faculty of Science, University of Mohaghegh Ardabili, Ardabil, Iran