Results 81 to 90 of about 2,393 (148)
Journal of Algebra, 1978 In this paper we prove that if G is a finite group of automorphisms acting on a semiprime ring R such that R has no additive ] G j-torsion, then the skew group ring R*G is also semiprime. The result was heretofore known in such special cases as when G is finite abelian, R is Goldie, or R satisfies a polynomial identity [I]. Our technique of proof is to
Fisher, Joe W, Montgomery, Susan
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COMMUTING AND 2-COMMUTING DERIVATIONS OF SEMIPRIME RINGS
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R, we obtain a derivation d is commuting and 2-commuting on R.
Mehsin Jabel Atteya +1 more
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Some Results of Prime And Semiprime Rings With Derivations
مجلة بغداد للعلوم, 2005 The main purpose of this paper is to study prime and semiprime rings admitting a derivation d satisfying new conditions when d acts as homomorphism on non-zero ideal.
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Derivations on semiprime rings [PDF]
Bulletin of the Australian Mathematical Society, 1996 The main result: Let R be a 2-torson free semiprime ring and let D: R → R be a derivation. Suppose that [[D(x), x], x] = 0 holds for all x ∈ R. In this case [D(x), x] = 0 holds for all x ∈ R.
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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]
Journal of the Australian Mathematical Society, 2019 The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Ferreira, Bruno L M +2 more
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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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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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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.
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On Jordan Triple α-*Centralizers Of Semiprime Rings
Demonstratio Mathematica, 2014 Let R be a 2-torsion free semiprime ring equipped with an involution *. An additive mapping T : R→R is called a left (resp. right) Jordan α-*centralizer associated with a function α: R→R if T(x2)=T(x)α(x*) (resp. T(x2)=α(x*)T(x)) holds for all x ∊ R.
Ashraf Mohammad +2 more
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