Results 1 to 10 of about 91 (89)
The left spectrum, the Levitzki radical, and noncommutative schemes. [PDF]
Proc Natl Acad Sci U S A, 1990 This note contains a brief exposition of the basics of a noncommutative version of affine, quasi-affine, and projective algebraic geometry. In this version, to any associative ring (with unity) a quasi-affine (resp. affine) left scheme is assigned. The notion of the left spectrum of a ring plays the key role.
Rosenberg AL.
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A note on the Levitzki radical of a near-ring [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1984 AbstractIt is known that in a near-ring N the Levitzki radical L(N), that is, the sum of all locally nilpotent ideals, is the intersection of all the prime ideals P in N such that N/P has zero Levitzki radical. The purpose of this note is to prove that L(N) is the intersection of a certain class of prime ideals, called l-prime ideals.
Groenewald, N. J., Potgieter, P. C.
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The Levitzki radical in Jordan rings [PDF]
Proceedings of the American Mathematical Society, 1970 Summary: The maximal locally solvable ideal, \(L(A)\), of a Jordan ring \(A\) is called the Levitzki radical of \(A\). The author has proved that the Levitzki radical \(L\) of a Jordan ring \(A\) is the intersection of all prime ideals \(P_\alpha\) of \(A\) for which the quotient ring \(A/P_\alpha\) is Levitzki semisimple.
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ON THE LEVITZKI RADICAL OF MODULES
International Electronic Journal of Algebra, 2014 In [1] a Levitzki module which we here call an l-prime module was introduced. In this paper we define and characterize l-prime submodules. Let N be a submodule of an R-module M. If l.√N := {m ∈ M : every l- system of M containingm meets N}, we show that l.√N coincides with the intersection L(N) of all l-prime submodules of M containing N. We define the
GROENEWALD, Nico J., SSEVVİİRİ, David
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Some properties of the Levitzki radical in alternative rings [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1982 AbstractTwo local nilpotent properties of an associative or alternative ringAcontaining an idempotent are shown. First, ifA=A11+A10+A01+A00is the Peirce decomposition ofArelative toethen ifais associative or semiprime alternative and 3-torsion free then any locally nilpotent idealBofAiigenerates a locally nilpotent ideal 〈B〉 ofA. As a consequenceL(Aii)
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The Levitzki radical in associative and Jordan rings
Journal of Algebra, 1976 If R is an associative ring in which 2x = a has a unique solution for all a E R, then it is of interest to consider the attached ring R-, where R+ is the same additive group as R but multiplication in Rf is given by a . 6 = $(ab + ba) (Here ab represents the multiplication in R and $a is the element x for which 2x = a).
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Regulation of the SIAH2-HIF-1 Axis by Protein Kinases and Its Implication in Cancer Therapy. [PDF]
Front Cell Dev Biol, 2021 Xu D, Li C.
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GTP-Dependent Regulation of CTP Synthase: Evolving Insights into Allosteric Activation and NH3 Translocation. [PDF]
Biomolecules, 2022 Bearne SL, Guo CJ, Liu JL.
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TLRs as a Promise Target Along With Immune Checkpoint Against Gastric Cancer. [PDF]
Front Cell Dev Biol, 2020 Cui L, Wang X, Zhang D.
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A note on the Levitzki radical of a semiring [PDF]
Fundamenta Mathematicae, 1973 Olson, Dwight M., Jenkins, Terry L.
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