Multipliers and weak multipliers of algebras

被引:0
|
作者
Kobayashi, Yuji [1 ]
Takahasi, Sin-Ei [1 ]
机构
[1] Lab Math & Games, Funabashi, Japan
来源
ACTA SCIENTIARUM MATHEMATICARUM | 2024年 / 90卷 / 1-2期
关键词
(Weak) multiplier; (Non) associative algebra; Jordan algebra; Zeropotent algebra; Annihilator; Nihil decomposition; Matrix representation; CLASSIFICATION;
D O I
10.1007/s44146-023-00100-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
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
收藏
页码:145 / 163
页数:19
相关论文
共 50 条
  • [21] DERIVATIONS AND MULTIPLIERS OF C]-ALGEBRAS
    AKEMANN, CA
    ELLIOTT, GA
    PEDERSEN, GK
    TOMIYAMA, J
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (06): : A603 - A604
  • [22] φ-MULTIPLIERS ON A CLASS OF TOPOLOGICAL ALGEBRAS
    Naziri-Kordkandi, Ali
    MATHEMATICA BOHEMICA, 2020, : 503 - 512
  • [23] Bochner algebras and their compact multipliers
    Abtahi, Fatemeh
    Isfahani, Rasoul Nasr
    Rejali, Ali
    MATHEMATICA SLOVACA, 2012, 62 (03) : 479 - 486
  • [24] Multipliers and dual operator algebras
    Blecher, DP
    JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 183 (02) : 498 - 525
  • [25] Almost multipliers of Frechet algebras
    Zivari-Kazempour, A.
    JOURNAL OF ANALYSIS, 2020, 28 (04): : 1075 - 1084
  • [26] C]-ALGEBRAS OF TRANSLATIONS AND MULTIPLIERS
    BERGER, CA
    COBURN, LA
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (05) : 1008 - &
  • [27] MULTIPLIERS OF JB-ALGEBRAS
    EDWARDS, CM
    MATHEMATISCHE ANNALEN, 1980, 249 (03) : 265 - 272
  • [28] MULTIPLIERS OF A-STAR-ALGEBRAS
    JOHNSON, DL
    LAHR, CD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 74 (02) : 315 - 317
  • [29] On Banach Algebras Defined by Multipliers
    Ebadian, Ali
    Jabbari, Ali
    Shams, Saeid
    FILOMAT, 2022, 36 (17) : 5945 - 5956
  • [30] Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
    Cláudio A. Fernandes
    Alexei Yu. Karlovich
    Yuri I. Karlovich
    Banach Journal of Mathematical Analysis, 2021, 15