Work

Ideal theory of $(m, n)$-near rings

Year: 2024

Type: article

Abstract: The aim of this research work is to define and characterize a new class of $n$-ary algebras that we call $(m,n)$-near rings. We investigate the notions of $i$-$R$-groups, $i$-$(m, n) $-near field, prime ideals, primary ideals and subtractive ideals of $(m,n)$-near rings. We describe the concept of homomorphisms between $ (m, n) $-near rings that preserve the $(m, n)$-near ring structure, and give some results in this respect.

Source: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

DOI: 10.31801/cfsuasmas.1494749

Authors: Fahime Mohammadi, Bijan Davvaz

Institutions: Yazd University, Ankara University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405671206

FWCI:

Cites: 10

Cited by:

Related to: 10