Multipliers and weak multipliers of algebras

被引：0

作者：

Yuji Kobayashi

Sin-Ei Takahasi

机构：

[1] Laboratory of Mathematics and Games,

来源：

Acta Scientiarum Mathematicarum | 2024年 / 90卷

关键词：

(Weak) multiplier; (Non) associative algebra; Jordan algebra; Zeropotent algebra; Annihilator; Nihil decomposition; Matrix representation; Primary 43A22; Secondary 17A99; 46J10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate general properties of multipliers and weak multipliers of algebras. We apply the results to determine the (weak) multipliers of associative algebras and zeropotent algebras of dimension 3 over an algebraically closed field.

引用

页码：145 / 163

页数：18

共 50 条

[1] Multipliers and weak multipliers of algebras
Kobayashi, Yuji
Takahasi, Sin-Ei
ACTA SCIENTIARUM MATHEMATICARUM, 2024, 90 (1-2): : 145 - 163
[2] Algebras of multipliers and spaces of quasi-multipliers
Pavlov, AA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1998, (06): : 14 - 18
[3] MULTIPLIERS ON BANACH ALGEBRAS
TOMIUK, BJ
STUDIA MATHEMATICA, 1976, 54 (03) : 267 - 283
[4] MULTIPLIERS FOR VANISHING ALGEBRAS
SHIMIZU, T
PROCEEDINGS OF THE JAPAN ACADEMY, 1972, 47 : 894 - &
[5] BANACH ALGEBRAS OF MULTIPLIERS
BIRTEL, FT
DUKE MATHEMATICAL JOURNAL, 1961, 28 (02) : 203 - &
[6] MULTIPLIERS OF SEGAL ALGEBRAS
TEWARI, UB
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 157 - 161
[7] MULTIPLIERS OF SEGAL ALGEBRAS
KROGSTAD, HE
MATHEMATICA SCANDINAVICA, 1976, 38 (02) : 285 - 303
[8] MULTIPLIERS OF BANACH ALGEBRAS
HELGASON, S
ANNALS OF MATHEMATICS, 1956, 64 (02) : 240 - 254
[9] MULTIPLIERS AND H ALGEBRAS
CHING, WM
WONG, JSW
PACIFIC JOURNAL OF MATHEMATICS, 1967, 22 (03) : 387 - &
[10] MULTIPLIERS OF BANACH ALGEBRAS
CHODA, H
NAKAMURA, M
PROCEEDINGS OF THE JAPAN ACADEMY, 1962, 38 (03): : 93 - &

← 1 2 3 4 5 →