Results 41 to 50 of about 852 (157)

Identities on additive mappings in semiprime rings

Математичні Студії, 2023
Consider a ring $R$, which is semiprime and also having $k$-torsion freeness. If $F, d : R\to R$ are two additive maps fulfilling the algebraic identity $$F(x^{n+m})=F(x^m) x^n+ x^m d(x^n)$$ for each $x$ in $R.$ Then $F$ will be a generalized derivation ...
A. Z. Ansari, N. Rehman
doaj   +1 more source

ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER

Al-Mustansiriyah Journal of Science, 2020
In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem, Abdulrahman H. Majeed   +1 more
doaj   +1 more source

On Generalized Left Derivation on Semiprime Rings [PDF]

Engineering and Technology Journal, 2016
Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
doaj   +1 more source

A note on centralizers

International Journal of Mathematics and Mathematical Sciences, 2000
For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
doaj   +1 more source

On multiplicative centrally-extended maps on semi-prime rings

Journal of Taibah University for Science, 2022
In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps ...
M. S. Tammam EL-Sayiad, A. Ageeb
doaj   +1 more source

The X-semiprimeness of rings

Journal of Algebra and Its Applications
For a nonempty subset [Formula: see text] of a ring [Formula: see text], the ring [Formula: see text] is called [Formula: see text]-semiprime if, given [Formula: see text], [Formula: see text] implies [Formula: see text]. This provides a proper class of semiprime rings.
Grigore Călugăreanu, Tsiu-Kwen Lee, Jerzy Matczuk   +2 more
openaire   +2 more sources

Regular elements in semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1968
In the proof of Goldie's theorem [1, Theorem 4.1], one of the crucial steps is to establish that every large right ideal contains a regular element [1, Theorem 3.9]. Recently, S. A. Amitsur told one of the authors he had proved, using the weaker conditions of the ACC on left and right annihilators, that every prime ring contains a left regular element ...
Johnson, R. E., Levy, L. S.
openaire   +2 more sources

On Skew Left n-Derivations with Lie Ideal Structure

مجلة بغداد للعلوم, 2019
In this paper the centralizing and commuting concerning skew left -derivations and skew left -derivations associated with antiautomorphism on prime and semiprime rings were studied and  the commutativity of Lie ideal under certain conditions were proved.
Faraj et al.
doaj   +1 more source

A SUBCLASS OF BAER IDEALS AND ITS APPLICATIONS [PDF]

Journal of Algebraic Systems
An ideal $I$ of a ring $R$ is called a right strongly Baer ideal if $r(I)=r(e)$, where $e$ is an idempotent, and there are right semicentral idempotents $e_{i}$ ($1\leq i\leq n$) with $ReR=Re_{1}R\cap Re_{2}R\cap...\cap Re_{n}R$ and each ideal $Re_{i}R ...
Zainab Gharabagi, Ali Taherifar
doaj   +1 more source

Permuting Generalized f‐Triderivations on Lattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed, Faiza Shujat, Abu Zaid Ansari, Pramita Mishra   +3 more
wiley   +1 more source