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Preprint . 1996
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Israel Journal of Mathematics
Article . 1996 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.48550/ar...
Article . 1996
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Prime rings with PI rings of constants

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jun 1996Embargo end date: 01 Jan 1996 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 96, pages 357-377 (issn: 0021-2172, eissn: 1565-8511, Copyright policy )
Authors: J. Keller; S. Rodrigues-Romo; Vladislav Kharchenko;

doi: 10.1007/bf02937311 , 10.48550/arxiv.alg-geom/9610017

arXiv: http://arxiv.org/abs/alg-geom/9610017

Prime rings with PI rings of constants

Abstract

It is shown that if the ring of constants of a restricted differential Lie algebra with a quasi-Frobenius inner part satisfies a polynomial identity (PI) then the original prime ring has a generalized polynomial identitiy (GPI). If additionally the ring of constants is semiprime then the original ring is PI. The case of a non-quasi-Frobenius inner part is also considered.

20 pages, LaTex2e, to appear in Israel Journal of Mathematics, volume 96, part B, 1996 (357-377)

Related Organizations
Keywords

Prime and semiprime associative rings, Semiprime p.i. rings, rings embeddable in matrices over commutative rings, symmetric Martindale quotient rings, quasi-Frobenius algebras, Lie rings of derivations, prime rings, PI rings, semiprime rings, Mathematics - Algebraic Geometry, Other kinds of identities (generalized polynomial, rational, involution), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Derivations, actions of Lie algebras, Algebraic Geometry (math.AG), Automorphisms and endomorphisms, extended centroid, generalized polynomial identities

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green