On right strongly prime ternary rings

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Web14 de out. de 2024 · We introduce the notion of right strongly prime ternary semiring and study some interesting properties of right strongly prime ternary semirings. . × Close … Web29 de ago. de 2024 · On right strongly prime ternary rings, East-West Journal of Mathematics (to appear). Regular equivalence and strongly regular equivalence on …

Weakly Special Radical Class and Special Radical Class of Ternary ...

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. 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. dallas cowboys kids uniform

Properties of Right Strongly Prime Ternary Gamma Semirings

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 WebA Class of General Type of Regularities and Generalized Semiprime Ideals in Ternary ring.- Southeast Asian Bulletin of Mathematics. V-40, 911-922. 2016. ... On Right Strongly Prime Ternary Rings. -East-West Journal of Mathematics. V-17(2), 141-152. 2015. – … WebSemiprime Right Ternary Γ-ideal, Strongly Irreducible Right Ternary Γ-ideal, Maximal Right Ternary Γ-ideal, ... in the year 2003 as a natural generalization of ternary ring which was introduced by W. G. Lister [4] ... Let P be a prime right ternary Γ-ideal of ternary Γ-semiring T and (P : a) = { x ∈ T : a Γt x ⊆ P }. birch creek apartments bay area

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On right strongly prime ternary rings

WebKeywords. Prime, Strongly prime, Semi prime, Irreducible and strongly irreducible bi-ideals in ternary semi rings. Introduction. Algebraic structures play a very outstanding role in mathematics with classification in multifarious disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, topological … Web3 Prime, Strongly Prime and Semiprime Bi-k-ideals of a Ternary Semiring Deﬁnition 18. A bi-k-ideal B of a ternary semiring S is called a prime bi-k-ideal of S, ifB1B2B3 ⊆ B …

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WebKeywords: Ternary Γ-Semiring, Prime ternary Γ-ideal, Strongly Prime Ternary Γ-Semiring, Strongly Prime Ternary Γ-Ideal. I. Introduction The notion of ternary Γ-Semiring has been introduced by D. Madhusudhana Rao and M. Sajani Lavanya [5] in the year 2015. The notion of Strongly prime ring has been introduced by Handelman and Lawrence [3]. WebProposition 1.3. // R is a prime right Goldie ring, then R is a domain if and only if R has bound equal to one. We now consider some pathological properties that SP rings may have. Example 1. We construct a ring that is right strongly prime but …

WebDe nitions 1.1 (Jayaram, Oral, Tekir). A prime ideal p of R is said to be strongly prime, if whenever p contains an intersection of ideals, it contains one of the ideals in the intersection, i.e. p T i2I a i)p a i for some i 2I. R is said to be a strongly zero-dimensional ring if every prime ideal of Ris strongly prime. WebRefworld is the leading source of information necessary for taking superior decisions on refugee status. Refworld contains a vast collection of reports relation go situations in countries of origin, policy documents furthermore positions, and documents relating to worldwide and national legal frameworks. The information has since carefully dialed and …

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 ... http://eastwestmath.org/index.php/ewm/article/view/59

WebA ternary ring R is right strongly prime if every nonzero ideal of R contains a finite subset G such that the right annihilator of G with respect to a finite subset of R is zero. …

WebIn this paper we introduce the notions of strongly prime ideal in a semiring and strongly prime semiring and study some of its properties. Also we characterize strongly prime … birch creek apartments beavertonWeb140 On Right Strongly Prime Ternary Rings were the original motivation for introducing strongly prime rings, it became apparent that strongly prime rings are interesting by … dallas cowboys knit ponchoWeb6 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 ... dallas cowboys kneel during national anthemWeb1 de jan. de 2010 · The noti on of strongly prim e ring was introduced by Handelm an and Law ren ce [11] in the y e ar 1975 and the y c harac ter ize d stron gly prime rings. The … dallas cowboys knitted hatWebIn this paper, we consider the weakly special radical classes and special radical classes of ternary semirings. Some of our results are similar to those in rings theory as well as in semiring theory. In particular, the upper radicals of the above two classes are determined. birch creek bluegrass bandWebAn icon applied to represent a home that can be toggled by interacting with this icon. birch creek apartments kent waWebThe class of strongly prime rings is an interesting class of rings because it has Key words: Ternary Semiring, Prime Ideal, Strongly Prime Ternary Semiring, Strongly Prime … birch creek apartments colville wa