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A classification of 2-dimensional endo-commutative straight algebras of type II_1 by Takahasi, Sin-Ei; Shirayanagi, Kiyoshi; Tsukada, Makoto is a scholarly article available to read on EtoBox.

What is A classification of 2-dimensional endo-commutative straight algebras of type II_1 about?

In this paper, we present a complete classification of 2-dimensional endo-commutative straight algebras of type II$_1$ over any field. An endo-commutative algebra is a non-associative algebra in which the square mapping preserves multiplication. A 2-dimensional straight algebra satisfies the condition that there exists an element $x$ such that $x$ and $x^2$ are linearly independent. The term type II$_1$ denotes a distinguishing characteristic of its structure matrix, which has rank 2. We provide multiplication tables for these algebras, listing them up to isomorphism.

Author

Takahasi, Sin-Ei; Shirayanagi, Kiyoshi; Tsukada, Makoto

Published

2024

Language

EN