weakly prime
Weakly prime ternary subsemimodules of ternary semimodules
... of weakly prime ideals in commutative ring with non-zero identity in ...of prime ideals see [3, 6, 7, 8, ...of weakly prime ternary subsemimodule of a ternary semimodule over a ternary ...
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On ordered hypersemigroups with idempotent ideals, prime and weakly prime ideals
... One can check that the ideals of H are the sets {a, b, c} and H and that both are idem- potent. One can check that for any ideals A, B of H, we have A ∩ B = (A ∗ B ], which is also a consequence of Theorem 9. One can ...
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FUZZY WEAKLY PRIME -IDEALS IN -RINGS
... If µ(x) ∨ µ(y) = 1, then µ(x) = 1 or µ(y ) = 1 or both are equal to 1. Thus x ∈ I or y ∈ I or both. So x γy ∈ I. Then µ(xγ y) = 1 ≥ µ(x ) and µ(x γy ) = 1 ≥ µ(y ). Therefore µ is a fuzzy prime Γ-ideal. Now we take ...
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Weakly Prime and Weakly Primary Ideals in Gamma Seminearrings
... are weakly primary ideals but not weakly prime and K = {0, a, b, c} is prime and hence weakly primary because every prime ideal is weakly ...
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INTUITIONISTIC FUZZY WEAKLY PRIME IDEALS
... Proof. Let xy 6= 0 and A be an intuitionistic fuzzy weakly prime ideal of R. If A(xy) = (0, 1), then A(xy) = A(x) or A(xy) = A(y) since A is an intuitionistic fuzzy ideal of R. Let (0, 1) 6= A(xy) = (a, b). ...
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(n - 1; n)-Weakly Prime Submodules in Direct Product of Modules
... Abstract. Let n ≥ 2 be a positive integer, R be a commutative ring with identity and M be a unitary R-module . In this paper we study the (n − 1, n)-weakly prime submodules of direct product of modules. ...
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I-prime ideals
... Proof. (1) Let R and S be commutative rings and P be weakly prime (0-prime) ideal of R. Then P × S need not be a 0-prime ideal of R × S; In fact, P × S is 0-prime if and only if P × S ...
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An Application of le-semigroup Techniques to Semigroups, Γ-semigroups and to Hypersemigroups
... one can get the corresponding characterizations of weakly prime and weakly semiprime ideals of semigroups, Γ-semigroups or hypersemigroups (in terms of right and left ideals), as corollaries. Then we ...
18
Special subgroups of regular semigroups
... A structure theorem for regular semigroups with an associate subgroup whose identity element is a medial idempotent and therefore that of P when S∼ is weakly prime was established in 2; [r] ...
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On the Paper "On hyperideals of ordered semihypergroups" by ZeGu in Ital. J. Pure Appl. Math.
... are weakly prime and semiprime (see [10, Theorem ...so weakly semiprime as well. Since every ideal of S is weakly semiprime, by Theorem ...
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Improved Factoring Attacks on Multi-Prime RSA with Small Prime Difference
... RSA [22] is a famous public key cryptosystem that has been widely used in various settings. However, the original RSA is not fit for some constrained environments. Since people need faster and more efficient RSA ...
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Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
... Proof. Let P be a completely prime ideal of R. R/P is domain, hence it is a reduced ring. R/P is an α-compatible ring, hence R/P is α-rigid, by 14, Lemma 2.2. Let fx, gx ∈ R/P x, x −1 ; α such that f x gx 0. Then ...
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Finite groups with all maximal subgroups of prime or prime square index
... -It now follows that whenever G/G is a subdirect product of primitive solvable groups on a prime or prime square number of letters or if G/G} is any homomorphic image of such a group the[r] ...
46
Weakly irreducible ideals
... of prime ideals of R), I is strongly irreducible if and only if I is primary [2, Theorem ...notion weakly irreducible ideals over different ...quasi-primary, weakly irreducible, strongly irreducible ...
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On (?,?)-Derivations and Commutativity of Prime and Semi prime ?-rings Afrah Mohammad Ibraheem
... 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 = ...semi-) prime Γ-ring is an extension for the notion of a ...
6
A Leray-Schauder alternative for weakly-strongly sequentially continuous weakly compact maps
... In applications, it is extremely di ffi cult to construct the weakly open set U in Theorem 2.10. This motivated us to construct a Furi-Pera-type theorem in [3]. In this paper, we present a new approach to maps which ...
10
Prime and Essential Prime Implicants of Boolean Functions through Cubical Representation
... K Maps are generally and ideally , thought to be simplest form for obtaining solution of Boolean equations.Cubical Representation of Boolean equations is an alternate pick to incur a solution, otherwise to be meted out ...
6
Characterizations of some near continuous functions and near open functions
... O-neighborhood, weakly continuous function, O-continuous function, strongly O-continuous function, almost strongly O-continuous function, weakly S-continuous function, weakly open functi[r] ...
6
Nonlinear controllability and observability with applications to gradient systems
... weakly observable and weakly observable systems from a given complete reachable system.. three to give criteria.[r] ...
79
On alpha-prime and Weakly alpha-prime Submodules
... It is well known that there are several authors have extended the notion of prime submodules. All of those definitions focus on multiplication between element of rings and of modules. This motivates us to study ...
10