Kiyoshi Shirayanagi

most citedA complete classification of three-dimensional algebras over

R

and

C

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

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

A new invariant under congruence of nonsingular matrices

Kiyoshi Shirayanagi, Yuji Kobayashi

For a nonsingular matrix $A$ , we propose the form $T r (^{t} A A^{- 1})$ , the trace of the product of its transpose and inverse, as a new invariant under congruence of nonsingular matr…

math.RA2019★ 2 cited

A complete classification of three-dimensional algebras over $R$ and $C$

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…