Web6 de fev. de 2024 · In this paper we study right strongly prime ternary rings and obtain some characterizations of it. Lastly we characterize strongly prime radical of a ternary ring. PDF Published 2024-02-06 Issue Vol 17 No 02 (2015): EAST-WEST JOURNAL OF MATHEMATICS Section Articles Information. For ... Webpossible definitions for ternary rings and the connection among them. Definition 2.2. An additive subgroup I of the Γ-ring A is called a right (left) ideal of A, if xαy∈I (respectively yαx∈I) for all x∈I, α∈Γ, y∈A. A left and right ideal of A is called an ideal of A. Definition 2.3.
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Webprime radical of an ideal in a ternary hemiring and prime radical of ternary hemiring. AMS Subject Classification: 16Y60, 16Y30 Key Words: ternary hemiring, prime ideal, semiprime ideal, strongly irre-ducible ideal, primary ideal,prime radical 1. Introduction Lister [4] introduced the notion of ternary rings and studied some of their WebWe note that a ternary semiring may not contain an identity but there are certain ternary semirings which generate identities in the sense de¯ned below : De¯nition 2.5. A ternary semiring S admits an identity provided that there exist elements f(ei;fi) 2 S (i = 1 ;2;¢¢¢ ;n )g such that P n i=1 eifix = P n P i=1 eixf i = n i=1 xe ifi = x ... high five clip art free
Weakly Special Radical Class and Special Radical Class of Ternary ...
WebAbstract:In this paper we introduce the notion of right strongly prime gamma Semiring and study some properties of right strongly prime ternary gamma Semiring. Mathematics Subject Classification: 16Y30. Keywords: Ternary Γ-Semiring, Prime ternary Γ-ideal, Strongly Prime Ternary Γ-Semiring, Strongly Prime Ternary Γ-Ideal. http://eastwestmath.org/index.php/ewm/article/download/59/59/ WebKeywords: Ternary semiring, left ideal, right ideal, lateral ideal, prime ideal, semiprime ideal, irreducible ideal, m-system, regular ternary semiring. Mathematics Subject classification (2012): 16Y60, 16Y99. 1. INTRODUCTION The theory of ternary algebraic system was introduced by D.H.Lehmer [1] in 1932. Ternary rings high five clothes