2 citations · 2 across the 8 of their papers we have counts for
8 papers
A characterization of endo-commutativity of 3-dimensional curled algebras
Sin-Ei Takahasi, Kiyoshi Shirayanagi
A curled algebra is a non-associative algebra in which and are linearly dependent for every element . An algebra is called endo-commutative, if the square mapping from…
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…
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…
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…
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…
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…
A new invariant under congruence of nonsingular matrices
Kiyoshi Shirayanagi, Yuji Kobayashi
For a nonsingular matrix , we propose the form , the trace of the product of its transpose and inverse, as a new invariant under congruence of nonsingular matr…
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…