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- Title
A classification of endo-commutative curled algebras of dimension 2 over a nontrivial field.
- Authors
Takahasi, Sin-Ei; Shirayanagi, Kiyoshi; Tsukada, Makoto
- Abstract
An endo-commutative algebra is a nonassociative algebra in which the square mapping preserves multiplication. In this paper, we give a complete classification of endo-commutative curled algebras of dimension 2 over an arbitrary nontrivial field, where a curled algebra satisfies the condition that the square of any element is a scalar multiple of that element. We list all multiplication tables of the algebras up to isomorphism.
- Subjects
ALGEBRA; NONASSOCIATIVE algebras; ISOMORPHISM (Mathematics); COMMUTATIVE algebra; CLASSIFICATION
- Publication
Asian-European Journal of Mathematics, 2023, Vol 16, Issue 10, p1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S1793557123501917