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arXiv.org e-Print Archive
Preprint . 2017
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Advances in Group Theory and Applications
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https://dx.doi.org/10.48550/ar...
Article . 2017
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On degenerations of algebras over an arbitrary field

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2017Publisher:arXivJournal:Advances in Group Theory and Applications (issn: 2499-1287, Copyright policy )
Authors: Nataliya M. Ivanova; Christakis A. Pallikaros;

doi: 10.48550/arxiv.1702.02647

arXiv: http://arxiv.org/abs/1702.02647

On degenerations of algebras over an arbitrary field

Abstract

For each $n\ge2$ we classify all $n$-dimensional algebras over an arbitrary infinite field which have the property that the $n$-dimensional abelian Lie algebra is their only proper degeneration.

We now complete the classification of all 'level one' algebras over an arbitrary field. Some new references have been added

Related Organizations
Keywords

linear action, Rings and Algebras (math.RA), QA1-939, FOS: Mathematics, degeneration, orbit closure, Mathematics - Rings and Algebras, algebra, Mathematics

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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!
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Published in a Diamond OA journal