Results 171 to 180 of about 4,055 (200)
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Certain basic functional identities of semiprime rings
Communications in Algebra, 2019The goal of the article is to discuss certain basic functional identities of semiprime rings. Specifically, the following result is proved: Let R be a semiprime ring with extended centroid C and let be additive maps, where denotes the maximal left ring ...
Tsiu-Kwen Lee
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Israel Journal of Mathematics, 1975
LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
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LetG be a finite group of automorphisms acting on a ringR, andRG={fixed points ofG}. We show that under certain conditions onR andG, whenRGis semiprime Goldie then so isR. In particular, ifa∈R is invertible andan∈Z(R), thenRG,withG generated by the inner automorphism determined bya, is the centralizer ofa—CR(a).
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Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings
Rendiconti del Circolo Matematico di Palermo Series 2, 2022B. Dhara, S. Kar, Nripendu Bera
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Note on Lie ideals with symmetric bi-derivations in semiprime rings
Indian journal of pure and applied mathematics, 2022E. K. Sögütcü, Shuliang Huang
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Centralizers and Jordan triple derivations of semiprime rings
Communications in Algebra, 2018Let R be a semiprime ring with extended centroid C and with maximal left ring of quotients . An additive map is called a Jordan triple derivation if for all . In 1957, Herstein proved that a Jordan triple derivation, which is also a Jordan derivation, of
Tsiu-Kwen Lee, T. Quynh
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Mathematical Notes, 1995
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Factoring Ideals into Semiprime Ideals
Canadian Journal of Mathematics, 1978Let D be an integral domain with 1 ≠ 0 . We consider “property SP” in D, which is that every ideal is a product of semiprime ideals. (A semiprime ideal is equal to its radical.) It is natural to consider property SP after studying Dedekind domains, which involve factoring ideals into prime ideals.
Vaughan, N. H., Yeagy, R. W.
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Semiprime submodules of a module and related concepts
Journal of Algebra and its Applications, 2019In this paper, we consider the notion of semiprime submodules, which is a natural generation of semiprime ideals. The main purpose of this paper is to give local-global properties of semiprimes and semiprime radicals as well as results on finitely ...
Sang Cheol Lee, R. Varmazyar
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ON GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS
2013Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define graded semiprime ideals of a commutative G-graded ring with nonzero identity and we give a number of results concerning such ideals. Also, we extend some results of graded semiprime ideals to graded weakly semiprime ideals.
FARZALİPOUR, Farkhonde +1 more
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