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zbMATH Open
Article . 2008
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Publicationes Mathematicae Debrecen
Article . 2008 . Peer-reviewed
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Jordan loops and loop rings

Jordan loops and loop rings.
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2008Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 72, pages 173-187 (issn: 0033-3883, Copyright policy )
Authors: Goodaire, Edgar G.; Keeping, Rebecca G.;

doi: 10.5486/pmd.2008.3887

Jordan loops and loop rings

Abstract

Summary: Jordan loop rings can exist only in characteristics not relatively prime to 6. In this paper, we show they exist in characteristic 2, give a number of examples of loops with Jordan loop rings and initiate a study of Jordan loops, a class of loops which has hitherto been largely ignored, perhaps for good reason.

Keywords

Loops, quasigroups, Jordan loop rings, Jordan structures associated with other structures, Jordan rings, Jordan loops

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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!
1
Average
Average
Average
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