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2015 Four-Dimensional Nilpotent Diassociative Algebras
W Basri, IS Rakhimov, IM Rikhsiboev
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J. Gen. Lie Theory Appl. 9(1): 1-6 (2015). DOI: 10.4172/1736-4337.1000218

Abstract

The paper is devoted to structural properties of diassociative algebras. We introduce the notions of nilpotency, solvability of the diassociative algebras and study their properties. The list of all possible nilpotent diassociative algebra structures on four-dimensional complex vector spaces is given.

Citation

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W Basri. IS Rakhimov. IM Rikhsiboev. "Four-Dimensional Nilpotent Diassociative Algebras." J. Gen. Lie Theory Appl. 9 (1) 1 - 6, 2015. https://doi.org/10.4172/1736-4337.1000218

Information

Published: 2015
First available in Project Euclid: 30 September 2015

zbMATH: 06499577
MathSciNet: MR3624040
Digital Object Identifier: 10.4172/1736-4337.1000218

Keywords: associative algebra , Diassociative algebra , isomorphism , Nilpotency , solvability

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.9 • No. 1 • 2015
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