3 citations · 6 across the 10 of their papers we have counts for
10 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…
Generalized group algebras and generalized measure algebras on non-discrete locally compact abelian groups
Jyunji Inoue, Sin-Ei Takahasi
Let be a non-discrete LCA group with the dual group . We define generalized group algebra, , and generalized measure algebra, on as…
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…
Multipliers and weak multipliers of algebras
Yuji Kobayashi, Sin-Ei Takahasi
We study general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebra…
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 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…
Characterization of a generalized triangle inequality in normed spaces
F. Dadipour, M. S. Moslehian, J. M. Rassias +1
For a normed linear space and we characterize all -tuples for which the generalized triangle inequality of the second type $…