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The variety of Jordan algebras determined by the identity (xy)(zt) ≡ 0 has almost polynomial growth

Authors :
S. P. Mishchenko
A. V. Popov
Source :
Mathematical Notes. 87:854-859
Publication Year :
2010
Publisher :
Pleiades Publishing Ltd, 2010.

Abstract

We prove that, in the case of ground field of characteristic zero, the variety cited in the title has almost polynomial growth. We construct an algebra generating this variety and completely describe the structure of the multilinear part of the variety as a module of the symmetric group.

Details

ISSN :
15738876 and 00014346
Volume :
87
Database :
OpenAIRE
Journal :
Mathematical Notes
Accession number :
edsair.doi...........68e3da69e766b30f4fb7a8e350e098da
Full Text :
https://doi.org/10.1134/s0001434610050251