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http://arxiv.org/pdf/0802.1872...
Article
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arXiv.org e-Print Archive
Preprint . 2008
Data sources: arXiv.org e-Print Archive
https://doi.org/10.1142/978981...
Article . 2008 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2008
License: arXiv Non-Exclusive Distribution
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https://dx.doi.org/10.1142/978...
Other literature type
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THE REALIZATION PROBLEM FOR VON NEUMANN REGULAR RINGS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Nov 2008Embargo end date: 01 Jan 2008Publisher:World Scientific Pub Co Pte LtdJournal:Ring Theory 2007
Authors: Ara, Pere;

doi: 10.1142/9789812818331_0004 , 10.48550/arxiv.0802.1872

arXiv: 0802.1872

THE REALIZATION PROBLEM FOR VON NEUMANN REGULAR RINGS

Abstract

We survey recent progress on the realization problem for von Neumann regular rings, which asks whether every countable conical refinement monoid can be realized as the monoid of isoclasses of finitely generated projective right $R$-modules over a von Neumann regular ring $R$.

15 pages, survey paper. It contains a new version of Proposition 4.1, due to Ken Goodearl

Related Organizations
Keywords

Rings and Algebras (math.RA), 16D70, FOS: Mathematics, Mathematics - Rings and Algebras

  • BIP!
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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).
    		 11
    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.
    		 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).
    		 Top 10%
    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!
11
Average
Top 10%
Average
Green