Results 71 to 80 of about 168 (124)
Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]
Zhou H +5 more
europepmc +1 more source
On derivations and semiprime ideal of rings
Let $R$ be an associative ring with a nonzero ideal $I$ and a semiprime ideal $T$ such that $T\subsetneq I.$ Let $K$ be a nonempty subset of $R$ and $d:R\to R$ be a derivation of $R$, if $[d(x),x]\in T$ for all $x\in K,$ then $d$ is said to be a $T$-commuting derivation on $K.$ We show that if some specific $T$-valued differential identities are ...
Sandhu, Gurninder Singh +1 more
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Some remarks on topologically semiprime ideals [PDF]
This paper is concerned with topological generalizations of the intersection properties of prime ideals for algebraic semigroups. An ideal of S, a topological semigroup, is said to be topologically semiprime if it fails to intersect those compact monothetic sub- semigroups which it does not contain.
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Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals
This paper aims to introduce a novel idea of possibility multi-fuzzy soft ordered semigroups for ideals and interior ideals. Various results, formulated as theorems based on these concepts, are presented and further validated with suitable examples. This
Sana Habib +3 more
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Derivations satisfying certain algebraic identities on Lie ideals [PDF]
Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: d(xy) = d(
Sandhu Gurninder S., Kumar Deepak
doaj
Dependent Elements of Derivations on Semiprime Rings
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
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ASSOCIATED PRIME IDEALS IN C(X) [PDF]
The minimal prime decomposition for semiprime ideals is defined and studied on z-ideals of C(X). The necessary and sufficient condition for existence of the minimal prime decomposition of a z-ideal / is given, when / satisfies one of the following ...
doaj
On fuzzy prime and fuzzy semiprime ideals of $\le$-hypergroupoids
We deal with an hypergroupoid endowed with a relation denoted by "$\le$", we call it $\le$--hypergroupoid. We prove that a nonempty subset $A$ of a $\le$--hypergroupoid $H$ is a prime (resp. semiprime) ideal of $H$ if and only if its characteristic function $f_A$ is a fuzzy prime (resp. fuzzy semiprime) ideal of $H$.
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On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups
In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of ...
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Localization at semiprime ideals
Beachy, John A, Blair, William D
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