WebIt is proved that (1) Every strongly prime bi-ternary Γ-ideal of a ternary Γ-semiring T is a prime bi-ternary Γ-ideal of T. (2) Every prime bi-ternary Γ-ideal of a ternary Γ-semiring …

ON RINGS WHOSE RIGHT ANNIHILATORS ARE BOUNDED

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]. 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. lithium discovered year

Prime Bi-Ternary -Ideals in Ternary Semirings

WebSTRONGLY PRIME NEAR-RINGS by N. J. GROENEWALD (Received 24th October 1985, revised 22nd July 1987) 1. Introduction Strongly prime rings were introduced by … 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. WebA Right Ternary Near-Ring (RTNR) is an algebraic system which is a group under binary addition and a ternary semigroup under ternary multiplication satisfying the right … impulse official site