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
  • [31] MULTIPLIERS IN LOCALLY CONVEX *- ALGEBRAS
    Haralampidou, Marina
    Palacios, Lourdes
    Signoret Poillon, Carlos J.
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2013, 43 (06) : 1931 - 1940
  • [32] MULTIPLIERS OF MULTIDIMENSIONAL FOURIER ALGEBRAS
    Todorov, I. G.
    Turowska, L.
    OPERATORS AND MATRICES, 2010, 4 (04): : 459 - 484
  • [33] MULTIPLIERS OF AP(G) ALGEBRAS
    BURNHAM, JT
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A7 - A8
  • [34] MULTIPLIERS AND GROUP LP ALGEBRAS
    GRIFFIN, J
    MCKENNON, K
    PACIFIC JOURNAL OF MATHEMATICS, 1973, 49 (02) : 365 - 370
  • [35] Shift Commutator Algebras and Multipliers
    Barrenechea, A. L.
    FILOMAT, 2018, 32 (17) : 5837 - 5843
  • [36] Multipliers of Nilpotent Diassociative Algebras
    Mainellis, Erik
    RESULTS IN MATHEMATICS, 2022, 77 (05)
  • [37] COMPACT MULTIPLIERS ON BANACH ALGEBRAS
    FRIEDBERG, SH
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 77 (02) : 210 - 210
  • [38] COMPACT MULTIPLIERS OF SEGAL ALGEBRAS
    TEWARI, UB
    PARTHASARATHY, K
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1983, 14 (02): : 194 - 201
  • [39] MULTIPLIERS OF TYPE (P,P) AND MULTIPLIERS OF GROUP LP-ALGEBRAS
    MCKENNON, K
    PACIFIC JOURNAL OF MATHEMATICS, 1973, 45 (01) : 297 - 302
  • [40] Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers
    Fernandes, Claudio A.
    Karlovich, Alexei Yu.
    Karlovich, Yuri I.
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2021, 15 (02)
12345