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- Title
ON TRAIN ALGEBRAS OF DEGREE 2 AND EXPONENT 4.
- Authors
ZANGRE, WENDINGOUDI ACHILE; CONSEIBO, ANDRÉ
- Abstract
In this paper, we deal with a class of nonassociative algebras called train algebras of degree 2 and exponent 4; Thus we give some results on algebras verifying a train identity of degree 2 and exponent 4. The structure of this class of algebras is studied through Peirce decomposition relative to a non zero idempotent. We give the necessary and sufficient conditions for an algebra verifying a train identity of degree 2 and exponent 4 to be Bernstein or train algebra of rank less than or equal to 3. Finally, we give some necessary conditions that must be verified by a train algebra of degree 2 and exponent 4, mainly in dimension four.
- Subjects
ALGEBRA; EXPONENTS; NONASSOCIATIVE algebras
- Publication
Gulf Journal of Mathematics, 2022, Vol 13, Issue 1, p41
- ISSN
2309-4966
- Publication type
Article
- DOI
10.56947/gjom.v13i1.926