[PDF] Top 20 Semi-Prime Ideals of Gamma Rings

... It is not obvious that B(A) is an ideal in M, but the next theorem will show that this is the case. However, let us observe that A and B(A) are contained in precisely the same prime ideal which contains B(A) ... See full document

... Abstract Let U be a non-zero σ-square closed Lie ideal of a 2-torsion free σ-prime Γ-ring M satisfying the condition aαbβc = aβbαc for all a, b, c ∈ M and α, β ∈ Γ, and let d be a derivation of M such that dσ = ... See full document

... on semi prime rings have been studied by Samman and Alyamani ...of semi prime rings by using reverse ...a gamma ring with the derivations investigated [9] ...a semi ... See full document

... a prime Γ -ring ܯ for which ܯ is commutative with the conditions ݀(ܷ) ⊆ ܷ and ݀ ଶ (ܷ) ⊆ ܼ , where ܷ is an ideal of ܯ and ܼ is the centre of ܯ ...completely prime Γ -ring which is a ...completely ... See full document

... Let N be the nilpotent radical of R. We prove the result by induction on K, the index of nilpotency of N. The case k l 1 is trivial by the above. Now assume that k 2. Suppose that M is not idempotent. Because M R is ... See full document

... The prime ideals and prime radicals in the projective product of Gamma-rings are extensively studied in this ...two gamma rings can never be prime unless the two ... See full document

... Proof: Suppose each i-v fuzzy bi-ideal of N is idempotent. Let λ be a arbitrary i-v fuzzy bi-ideal and µ ν , be an i-v fuzzy bi-ideals of N such that µ ν λ ≤ . Since the set of i-v fuzzy bi-ideals of N is ... See full document

... Zadeh [18] introduced the concept of fuzzy set in 1965 and after that he also introduced the notion of interval valued fuzzy subset [17] (in short i-v fuzzy subset) in 1975, where the values of membership functions are ... See full document

... Let N be a near –ring and is a mapping on N . This paper consists of two sections . In section one , we recall some basic definitions and other concepts , which be used in our paper , we explain these concepts by ... See full document

... Given a set S, a fuzzy subset of S (or a fuzzy set in S) is described as an arbitrary mapping f : S → [0,1], where [0,1] is the usual interval of real numbers. The concept of fuzzy set was introduced by Zadeh[19]. ... See full document

... F . Hence by ( ii ) , there exists a prime filter Q ⊇ F such that Q ∩ A ⊥ = φ . Then b ∨ c ∉ S − Q . This implies either b ∉ S − Q or c ∉ S − Q as S − Q is a prime ideal. Hence either b ∈ Q or c ∈ Q . ... See full document

... n ≤ ( ∧ ( ∨ )) ∨ ≤ implies ( a ∧ ( b ∨ c )) ∨ n ∈ J , which is a contradiction. Then by Lemma 3, there exists a maximal filter F ⊇ [ a ∧ ( b ∨ c )) and disjoint from J . But a convex sublattice containing a filter is ... See full document

... called prime if aΓRΓb = 0 with a, b ∈R implies a = 0 or b = 0, and R is called semi prime if aΓRΓa = 0 with a ∈R implies a = ...(resp. semi-) prime Γ-ring is an extension for the notion ... See full document

... (3) ⇒ (4) Let J and K be two ideals of R with J K ⊆ P . Assume that J * P and K * P . We claim that J K ⊆ IP . Suppose r ∈ J. First, Let r / ∈ P . Then rK ⊆ P gives K ⊆ (P : r). Now K * P , so (P : r) = (IP : r). ... See full document

... Numbers of generators of ideals in local rings and a generalized Numbers of generators of ideals in local rings and a generalized Pascal's Triangle.. Pascal's Triangle.[r] ... See full document

... The aim of this paper is to present the concepts of congruence relation in -near-rings and the lower and upper approximations of an ideal with respect to the congruence relation and introduce the notion of rough ... See full document

... relatively prime rational integers and then makes arguments which would normally hold in the ring Z ...unique prime factorization in Z to obtain a ... See full document

... μ)-fuzzy ideals such as a (λ, μ)-fuzzy prime ideal and a (λ, μ)-fuzzy primary ideal, and then we characterized their properties and obtained several equivalence conditions of a (λ, μ)-fuzzy prime ... See full document

... HNP rings is the one of classical hereditary ...to prime Noetherian PI rings that are maximal orders and have Krull dimension one [37, Theorem ...hereditary prime PI rings are classical ... See full document

... Abstract. In this paper the authors study the homomorphisms on directed above meet semilattices. Then they include homomorphism theorem for meet semilattices.They establish some results on homomorphic images of semiprime ... See full document