Journal of Generalized Lie Theory and Applications

Four-Dimensional Nilpotent Diassociative Algebras

W Basri, IS Rakhimov, and IM Rikhsiboev

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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.

Article information

J. Gen. Lie Theory Appl., Volume 9, Number 1 (2015), 6 pages.

First available in Project Euclid: 30 September 2015

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Zentralblatt MATH identifier

Associative algebra Diassociative algebra Isomorphism Nilpotency Solvability


Basri, W; Rakhimov, IS; Rikhsiboev, IM. Four-Dimensional Nilpotent Diassociative Algebras. J. Gen. Lie Theory Appl. 9 (2015), no. 1, 6 pages. doi:10.4172/1736-4337.1000218.

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