Results 31 to 40 of about 184 (133)

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
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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
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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
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Jordan derivations on semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation.
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Notes on Semiprime Ideals with Symmetric Bi-Derivation

Axioms
In this paper, we prove many algebraic identities that include symmetric bi-derivation in rings which contain a semiprime ideal. We intend to generalize previous results obtained for semiprime rings with symmetric derivation using semiprime ideals in ...
Ali Yahya Hummdi, Öznur Gölbaşı, Emine Koç Sögütcü, Nadeem ur Rehman   +3 more
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Free actions on semiprime rings [PDF]

Mathematica Bohemica, 2008
Summary: We identify some situations where mappings related to left centralizers, derivations and generalized \((\alpha,\beta)\)-derivations are free actions on semiprime rings. We show that for a left centralizer, or a derivation \(T\), of a semiprime ring \(R\) the mapping \(\psi\colon R\to R\) defined by \(\psi(x)=T(x)x-xT(x)\) for all \(x\in R\) is
Chaudhry, Muhammad Anwar, Samman, Mohammad S.   +1 more
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A note on a pair of derivations of semiprime rings

International Journal of Mathematics and Mathematical Sciences, 2004
We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z(R), and let f, g be derivations of R such that f(x)x+xg(x)∈Z(R) for all x∈R, then f and g are ...
Muhammad Anwar Chaudhry, A. B. Thaheem
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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
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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
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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
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