Results 71 to 80 of about 168 (124)

Soft Substructures in Quantales and Their Approximations Based on Soft Relations. [PDF]

open access: yesComput Intell Neurosci, 2022
Zhou H   +5 more
europepmc   +1 more source

On derivations and semiprime ideal of rings

open access: yes
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
openaire   +2 more sources

Some remarks on topologically semiprime ideals [PDF]

open access: yesCzechoslovak Mathematical Journal, 1984
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.
openaire   +2 more sources

Exploring the Structure of Possibility Multi-Fuzzy Soft Ordered Semigroups Through Interior Ideals

open access: yesMathematics
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
doaj   +1 more source

Derivations satisfying certain algebraic identities on Lie ideals [PDF]

open access: yesMathematica Moravica, 2019
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2009
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
doaj   +1 more source

ASSOCIATED PRIME IDEALS IN C(X) [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2000
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

open access: yesJournal of Hyperstructures, 2016
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 $H$.
openaire   +3 more sources

On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups

open access: yes, 2011
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 ...
openaire   +2 more sources

Localization at semiprime ideals

open access: yesJournal of Algebra, 1976
Beachy, John A, Blair, William D
openaire   +1 more source

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