Препринт

Few remarks on evolution algebras

Abror KhudoyberdiyevInstitute of Mathematics, National University of Uzbekistan, Tashkent 100125, UzbekistanB. A. OmirovInstitute of Mathematics, National University of Uzbekistan, Tashkent 100125, UzbekistanIzzat QarallehDepartment of Computational & Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P. O. Box 141, 25710 Kuantan, Pahang, Malaysia

Journal of Algebra and Its Applicationsjournal2014en

ABI

Аннотация

In this paper, we study some algebraic properties of evolution algebras. Moreover, we reduce the study of evolution algebras of permutations to two special types of evolution algebras, idempotents and absolute nilpotent elements of the algebra. We study three-dimensional evolution algebras whose each element of evolution basis has infinite period. In addition, for an evolution algebra with some properties we describe its associative enveloping algebra.

Темы

Advanced Topics in Algebra Algebraic structures and combinatorial models Matrix Theory and Algorithms

Идентификаторы

DOI: 10.1142/s021949881550053x

Цитирования и источники

Цитирований: 2 Использованных источников: 12

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