Results 81 to 90 of about 175 (133)

Lie Ideals and Homoderivations in Semiprime Rings

Mathematics
Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting map on U if any one of the following holds: (i)ℏ(a˜1a˜2)+a˜1a˜2∈Z, (ii)ℏ(a˜1a˜2)−a˜1a˜2∈Z, (iii)ℏa ...
Ali Yahya Hummdi, Zeliha Bedir, Emine Koç Sögütcü, Öznur Gölbaşı, Nadeem ur Rehman   +4 more
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SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS

Facta Universitatis, Series: Mathematics and Informatics
The first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP-commuting homoderivations.
openaire   +1 more source

Symmetric Reverse $n$-Derivations on Ideals of Semiprime Rings

Axioms
This paper focuses on examining a new type of $n$-additive maps called the symmetric reverse $n$-derivations. As implied by its name, it combines the ideas of $n$-additive maps and reverse derivations, with a $1$-reverse derivation being the ordinary reverse derivation.
Shakir Ali, Ali Yahya Hummdi, Naira Noor Rafiquee, Vaishali Varshney, Kok Bin Wong   +4 more
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Localization at semiprime ideals

Journal of Algebra, 1976
Beachy, John A, Blair, William D
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Fuzzy semiprime ideals in Gamma-rings

, 2010
In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy
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Strongly semicontinuous domains and semi-FS domains. [PDF]

ScientificWorldJournal, 2014
He Q, Xu L.
europepmc   +1 more source

Emerging trends in soft set theory and related topics. [PDF]

ScientificWorldJournal, 2015
Feng F, Cagman N, Leoreanu-Fotea V, Akram M.   +3 more
europepmc   +1 more source

Local generalized (α,β)-derivations. [PDF]

ScientificWorldJournal, 2014
Fošner A.
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, Rehman, Nadeem Ur   +1 more
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Author Correction: Generalized roughness of three dimensional (∈, ∈ ∨ q) fuzzy ideals in terms of set‑valued homomorphism. [PDF]

Sci Rep
Bashir S, Mazhar R, Kausar N, Yaman S, Ali SS, Afzal MUH.   +5 more
europepmc   +1 more source