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20042024
most citedA complete classification of three-dimensional algebras over and

2 citations · 2 across the 7 of their papers we have counts for

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6 papers · 1 filter

math.RA2024

A classification of 2-dimensional endo-commutative straight algebras of type II_1

Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada

In this paper, we present a complete classification of 2-dimensional endo-commutative straight algebras of type II over any field. An endo-commutative algebra is a non-associat…

math.RA2023

A Classification of 2-dimensional endo-commutative straight algebras of type I

Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada

In this paper, we provide a complete classification of 2-dimensional endo-commutative straight algebras of type I over any field. An endo-commutative algebra is a non-associative a…

math.RA2023

A classification of 2-dimensional endo-commutative straight algebras of rank 1 over a non-trivial field

Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada

An endo-commutative algebra is a nonassociative algebra in which the square mapping preserves multiplication. In this paper, we give a complete classification of 2-dimensional endo…

math.RA2023

A classification of endo-commutative curled algebras of dimension 2 over a non-trivial field

Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada

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 c…

math.RA2022

A Classification of Two-dimensional Endo-commutative Algebras over F_2

Sin-Ei Takahasi, Kiyoshi Shirayanagi, Makoto Tsukada

We introduce a new class of algebras called endo-commutative algebras in which the square mapping preserves multiplication, and provide a complete classification of endo-commutativ…

math.RA2019★ 2 cited

A complete classification of three-dimensional algebras over and

Yuji Kobayashi, Kiyoshi Shirayanagi, Sin-Ei Takahasi +1

We provide a complete classification of three-dimensional associative algebras over the real and complex number fields based on a complete elementary proof. We list up all the mult…