Distributive Character of Multiplication N-groups

Md Nazir Hussain; Navalakhi Hazarika; Anuradha Devi

doi:https://doi.org/10.14445/22315373/IJMTT-V69I6P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 6 | Year 2023 | Article Id. IJMTT-V69I6P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I6P508

Distributive Character of Multiplication N-groups

Md Nazir Hussain, Navalakhi Hazarika, Anuradha Devi

Received	Revised	Accepted	Published
23 Apr 2023	29 May 2023	15 Jun 2023	27 Jun 2023

Abstract

In this paper, Uniserial 𝑁-groups and Bezout 𝑁-groups are defined. Defining localized near ring, localized 𝑁-groups, localized 𝑁-subgroups and localized ideals of 𝑁-groups the related results are discussed. It is observed that the various characteristics of 𝐷𝑁 -groups, multiplication 𝑁 -groups, Uniserial 𝑁 -groups and Bezout 𝑁 -groups are also investigated. It is also seen that in arithmetical near rings, uniserial 𝑁-groups and 𝐷𝑁-groups lead to multiplication 𝑁-groups.

Keywords

Near rings, Localized 𝑁-groups, Multiplication 𝑁-groups, Distributive 𝑁-groups.

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Citation :

Md Nazir Hussain, Navalakhi Hazarika, Anuradha Devi, "Distributive Character of Multiplication N-groups," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 6, pp. 59-66, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I6P508