Identities on Two-Dimensional Algebras

In the paper we provide some polynomial identities for finite-dimensional algebras. A list of well known single polynomial identities is exposed and the classification of all two-dimensional algebras with respect to these identities is given.

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Bibliographic Details
Published inLobachevskii journal of mathematics Vol. 41; no. 9; pp. 1615 - 1629
Main Authors Ahmed, H., Bekbaev, U., Rakhimov, I.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.09.2020
Springer Nature B.V
Subjects
Algebra
Analysis
Geometry
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Polynomials
Probability Theory and Stochastic Processes
structure constants
algebra
polynomial identity
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Summary:In the paper we provide some polynomial identities for finite-dimensional algebras. A list of well known single polynomial identities is exposed and the classification of all two-dimensional algebras with respect to these identities is given.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220090024