Results 91 to 100 of about 1,169,182 (223)
Permuting triderivations of prime and semiprime rings
, 2017 The purpose of this paper is to prove some results concerning permuting triderivations and permuting generalized triderivations on prime and semiprime rings which partially extend some results contained in [9] and [10].
H. Yazarlı
semanticscholar +1 more source
Derivations of higher order in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 1998 Let R be a 2-torsion free semiprime ring with derivation d. Supposed d2n is a derivation of R, where n is a positive integer. It is shown that if R is (4n−2)-torsion free or if R is an inner derivation of R, then d2n−1=0.
Jiang Luh, Youpei Ye
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Semi r-ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 For commutative rings with identity, we introduce and study the concept of semi r-ideals which is a kind of generalization of both r-ideals and semiprime ideals.
Khashan Hani A., Celikel Ece Yetkin
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On Orthogonal Generalized Derivations of Semiprime -Rings
GANIT Journal of Bangladesh Mathematical Society, 2019 In this paper, we study the orthogonality of two generalized derivations in semiprime G-rings. Some results are obtained in connection with ideals of semiprime G-rings and using left annihilator which is taken to be zero. GANIT J. Bangladesh Math.
K. Dey, S. K. Saha, A. C. Paul
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Dependent Elements of Derivations on Semiprime Rings
International 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
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Prime Structures in a Morita Context
, 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
core
A Commutativity theorem for semiprime rings [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1980 AbstractIt is shown that if R is a semiprime ring with 1 satisfying the property that, for each x, y ∈ R, there exists a positive integer n depending on x and y such that (xy)k − xkyk is central for k = n,n+1, n+2, then R is commutative, thus generalizing a result of Kaya.
openaire +2 more sources
Some Equations in Rings Involving Semiprime Ideals and Multiplicative Generalized Semiderivations
MathematicsThis paper examines the commutativity of the quotient ring F/Y by utilizing specific differential identities in a general ring F that contains a semiprime ideal Y. This study particularly focuses on the role of a multiplicative generalized semiderivation
A. Hummdi +3 more
semanticscholar +1 more source
Hyperideal theory in ordered Krasner hyperrings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we study some properties of ordered Krasner hyper-rings. Also we state some definitions and basic facts and prove some results on ordered Krasner hyperring (R, +, ·, ≤).
Omidi Saber, Davvaz Bijan
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On commutativity of prime and semiprime rings with generalized derivations
Ratio Mathematica, 2020 Let $R$ be a prime ring, extended centroid $C$ and $m, n, k \geq1$ are fixed integers. If $R$ admits a generalized derivation $F$ associated with a derivation $d$ such that $(F(x)\circ y)^{m}+(x\circ d(y))^{n}=0$ or $(F(x)\circ_{m} y)^{k} + x\circ_{n} d ...
MD Hamidur Rahaman
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