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Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society
Article . 1973 . Peer-reviewed
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Proceedings of the American Mathematical Society
Article . 1973 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1090/s00...
Other literature type
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Structure of Semiprime P.I. Rings

Structure of semiprime P. I. rings
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 1973Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 39, page 465 (issn: 0002-9939, Copyright policy )
Authors: Fisher, Joe W.;

doi: 10.2307/2039575 , 10.1090/s0002-9939-1973-0320049-0

Structure of Semiprime P.I. Rings

Abstract

In this paper we make an investigation into the structure of semiprime polynomial identity rings which is culminated by showing that each such ring R R has a unique maximal left quotient ring Q Q such that (1) Q Q is von Neumann regular with unity and (2) every regular element in R R is invertible in Q Q .

Keywords

Prime and semiprime associative rings, Localization and associative Noetherian rings, Rings with polynomial identity, von Neumann regular rings and generalizations (associative algebraic aspects)

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    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).
    		 18
    popularity
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    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
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!
18
Average
Top 10%
Average
bronze