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Prime ideals and ideal symmetry in near- rings
International Journal of Statistics and Applied Mathematics · 2019 · Vol. 4(5) · pp. 140–142
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. Modern ring theory has very active mathematical discipline and studying rings in their own right. In this paper we study about 3- prime ideals and radicals in a Near-ring. Also, we study about 3- prime ideal and ideal symmetry in a Near-ring and its inter relationship between them.
Rings, Modules, and AlgebrasAdvanced Topics in AlgebraMathematicsIdeal (ethics)Radical of a ringSimple ringAssociated primePrincipal ideal ringRing (chemistry)Minimal idealPrime (order theory)Pure mathematics
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