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POTENTIAL ALGEBRAS WITH FEW GENERATORS

Part of: General nonassociative rings

Published online by Cambridge University Press:  01 July 2020

NATALIA IYUDU  and
STANISLAV SHKARIN
STANISLAV SHKARIN
Affiliation:
e-mail: s.shkarin@qub.ac.uk
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Abstract

We give a complete description of quadratic twisted potential algebras on three generators as well as cubic twisted potential algebras on two generators up to graded algebra isomorphisms under the assumption that the ground field is algebraically closed and has characteristic other than 2 or 3.

MSC classification

Secondary: 17A45: Quadratic algebras (but not quadratic Jordan algebras)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Special Issue S1: Workshop on Nonassociative algebras and their applications , December 2020 , pp. S28 - S76
Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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References

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