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Prime ideals and radical of ideals in near- rings

Abstract

The most interesting and active field of current research in mathematics is theory of near- ring due to its wide application in coding theory, group theory, geometry, cryptography and block- designing etc. Near rings are one of the generalized structure of rings. In this paper we discuss the concepts of ideals and radicals in near- rings also the concepts of m- system and sp- system in context of near- rings. Also, the concepts of m*- system, m*- sequences and prime radicals in near rings.

Rings, Modules, and AlgebrasMathematicsPrime (order theory)Associated primeContext (archaeology)Pure mathematicsRing theoryRing (chemistry)Discrete mathematicsAlgebra over a fieldCombinatorics
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Prime ideals and radical of ideals in near- rings · Scinovex