Results 111 to 120 of about 1,324,184 (168)
A note on semiprime rings with derivation
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
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Congruence Extensions in Congruence–Modular Varieties
AxiomsWe investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences with respect to the term condition commutator.
George Georgescu +2 more
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Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings
International Journal of Mathematics and Mathematical Sciences, 2014 Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed ...
Vincenzo De Filippis +2 more
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On prime and semiprime near-rings with derivations
International Journal of Mathematics and Mathematical Sciences, 1997 Let N be a semiprime right near-ring, A a subset of N such that 0∈A and AN⫅A, and d a derivation of N The purpose of this paper is to prove that if d acts as a homomorphism on A or as an anti-homomorphism on A, then d(A)={0}.
Nurcan Argaç
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Sets of lengths in maximal orders in central simple algebras.
J Algebra, 2013 Smertnig D.
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حول الحلقات التی فیها کل مقاس بسیط منفرد مسطح , I
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 Raida D. Mahmood +1 more
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Fixed elements under a finite group acting on a semiprime ring
Algebra and Logic, 1975V K Kharchenko, Kharchenko V K
exaly +2 more sources
On Derivations in Semiprime Rings
Algebras and Representation Theory, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali, Shakir, Huang, Shuliang
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On τ-centralizers of semiprime rings
Siberian Mathematical Journal, 2007Summary: Let \(R\) be a semiprime 2-torsion free ring, and let \(\tau\) be an endomorphism of \(R\). Under some conditions we prove that a left Jordan \(\tau\)-centralizer of \(R\) is a left \(\tau\)-centralizer of \(R\). Under the same conditions we also prove that a Jordan \(\tau\)-centralizer of \(R\) is a \(\tau\)-centralizer of \(R\).
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