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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Siberian Mathematica...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Siberian Mathematical Journal
Article . 1985 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1985
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
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Nilpotent elements of a free Jordan algebra

On nilpotent elements of a free Jordan algebra
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Springer Science and Business Media LLCJournal:Siberian Mathematical Journal, volume 26, pages 271-277 (issn: 0037-4466, eissn: 1573-9260, Copyright policy )
Authors: Medvedev, Yu. A.;

doi: 10.1007/bf00968773

Nilpotent elements of a free Jordan algebra

Abstract

The author settles the following well-known question: does the free Jordan algebra contain nonzero nilpotent elements ? It is proved that the free countable generated Jordan algebra over a field F of characteristic greater than 7 contains nonzero nilpotent elements and nonzero absolute zero divisors. As a corollary it is proved that the free finitely generated Jordan algebra over F on more than 31 free generators contains a nonzero trivial ideal.

Keywords

nilpotent elements, trivial ideal, Jordan structures on Banach spaces and algebras, free countable generated Jordan algebra, prime characteristic greater seven, free Jordan algebra, Identities and free Jordan structures, absolute zero divisors, free finitely generated Jordan algebra, Structure theory for Jordan algebras, free generators

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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!
3
Average
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