[PDF] Top 20 Singular Ideals of Ternary Semirings

... of ternary semiring which are the radical classes of nonsingular semiprime ternary semirings and nonsingular prime ternary semirings respectively in which the condition α holds which is ... See full document

... “The Singular Ideal of a ternary Semiring” mentioned in ...a ternary semiring was first introduced by ...to ternary semirings. Some earlier works of ternary semiring may be found ... See full document

... Proof: Let µ e be an interval-valued fuzzy right ideal of S and [ α, β ] ∈ Im µ. By Theorem 3.1, e U ( µ, e [ α, β ]) is a ternary subsemiring. Let x ∈ U ( µ, e [ α, β ]) and y, z ∈ S. Then µ e ( xyz ) ≥ µ e ( x ) ... See full document

... Z Z  forms a semiring whereas Z  forms a ternary semiring. More generally; in an ordered ring, we can see that its positive cone forms a semiring whereas its negative cone forms a ternary semiring. Thus a ... See full document

... prime ideals in commutative ring with non-zero identity in ...and semirings by many authors [4, 5, ...prime ideals see [3, 6, 7, 8, ...prime ternary subsemimodule of a ternary ... See full document

... PO-Ternary Semirings- International Organization of Scientific Research Journal of Mathematics, Volume 11, Issue 3, May-Jun 2015, pp ...PO-Ternary Ideals in PO-Ternary Semiring- Journal ... See full document

... of ternary algebraic system was introduced by Lehmer [12] in 1932. Ternary semigroups[19,18], ternary semirings [10]are some of the algebraic structures which involve ternary ...using ... See full document

... L-fuzzy ideals and primary L-fuzzy ideals in rings where L is a completely distributive ...L-fuzzy ideals in semirings were studied by Jun, Neggers and Kim in [8], [9], [15] and ...fuzzy ... See full document

... Example 4.3 Consider the ternary semiring (Z ¡ 5 ,+, .) as de¯ned in Example 3.4. Let A = f 0; ¡ 2; ¡ 3 g . Then SSA = f¡ 2; ¡ 3; ¡ 4 g , (SAS + SSASS) = f 0; ¡ 1; ¡ 2; ¡ 3 g and ASS = f¡ 1; ¡ 2; ¡ 3 g . Therefore ... See full document

... (i) multiplicatively left cancellative (MLC) if abx = aby implies that x = y, (ii) multiplicatively right cancellative (MRC) if xab = yab implies that x = y, (iii) multiplicatively laterally cancellative (MLLC) if axb = ... See full document

... of ternary algebraic ...fuzzy ideals and fuzzy quasi- ideals in ternary semirings, Kavikumar, Khamis and Jun [11] studied fuzzy bi-ideals in ternary semirings, ... See full document

... fuzzy ideals on ternary semi- groups and define hesitant fuzzy left ...on ternary semigroups. Here we define hesitant fuzzy point on ternary semigroups and prove some interesting results on ... See full document

... of ternary algebraic system in 1932 and iIn 1965, ...quasi ideals in ternary ...a ternary semigroup T is a quasi ideal in T if and only if the characteristic function C A of A is a fuzzy quasi ... See full document

... inversive semirings and ...left/right/two-sided ideals of an additively inversive semiring their non-empty intersection is also left/right/two-sided ...sided ideals is also a left/right/two-sided ... See full document

... Let x, y, z ∈ T , y ∉ A , z ∉ A . Then <x>Γ<y>Γ<z> ⊆ XΓYΓZ ⊆ A and <y> ⊈ A , <z> ⊈ A. ∴ by supposition <x>Γ<y>Γ<z> ⊆ A and < y >⊈A, < z >⊈A ⟹ < x >⊆ A . ∴ ... See full document

... Abstract. The prime fuzzy bi-ideals of semigroups are introduced by Shabir, Jun and Bano. They characterized those semigroups for which each fuzzy bi-ideal is semiprime and also characterized those semigroups for ... See full document

... Conversely, let U ( f ; t ) be a ternary subsemigroup of T for all t ∈ ( λ, µ ] . Let x, y ∈ T be such that x ≤ y. Choose t = f ( y ) ∧ µ. Thus, y ∈ U ( f ; t ) , which implies x ∈ U ( f ; t ) . Then f ( x ) ∨ λ ≥ ... See full document

... In section 2 of this paper, we gather all the preliminaries of (semi)hyperrings and k-(hyper)ideals which will be used in the next sections. In section 3, we represent some methods for construction semihyperrings ... See full document

... An elnent ’t’ in a ternary semi group T is said to be regular if there exists x,y in T such that.. If all the elements of T are regular then it is said to be regular ternary semi group..[r] ... See full document

... Lemma 1. Let I be a 2-absorbing primary ideal of S. Suppose that I and √ I be subtractive ideals of S and a bJ ⊆ I for some a, b ∈ S and an ideal J of S. If a b ∉ I , then either aJ ⊆ √ I or bJ ⊆ √ I . Proof. ... See full document