Hilbert 90 for Algebras with Conjugation

被引：1
|
作者：
Lundstrom, Patrik [1 ]
机构：
[1] Univ West, Dept Engn Sci, Trollhattan, Sweden
来源：
ALGEBRAS AND REPRESENTATION THEORY | 2012年 / 15卷 / 01期
关键词：
Nonassociative algebras; Nondistributive algebras; Alternative algebras; Caley-Smith doubling; Hilbert; 90;
D O I：
10.1007/s10468-010-9235-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show a version of Hilbert 90 that is valid for a large class of algebras many of which are not commutative, distributive or associative. This class contains the nth iteration of the Conway-Smith doubling procedure. We use our version of Hilbert 90 to parametrize all solutions in ordered fields to the norm one equation for such algebras.
引用
收藏
页码：119 / 135
页数：17
相关论文
共 50 条
  • [1] Hilbert 90 for Algebras with Conjugation
    Patrik Lundström
    Algebras and Representation Theory, 2012, 15 : 119 - 135
  • [2] Hermitian Measures in W*J-Algebras in Hilbert Spaces with Conjugation
    Marjan Matvejchuk
    International Journal of Theoretical Physics, 2000, 39 : 777 - 791
  • [3] Hermitian measures in W*J-algebras in Hilbert spaces with conjugation
    Matvejchuk, M
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (03) : 777 - 791
  • [4] Probability measures in W*-J-algebras in Hilbert spaces with conjugation
    Matvejchuk, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) : 1155 - 1164
  • [5] Hilbert Algebras with Hilbert–Galois Connections
    Sergio A. Celani
    Daniela Montangie
    Studia Logica, 2023, 111 : 113 - 138
  • [6] HILBERT ALGEBRAS IN A NON-CLASSICAL FRAMEWORK: HILBERT ALGEBRAS WITH APARTNESS
    Romano, Daniel A.
    JOURNAL OF APPLIED LOGICS-IFCOLOG JOURNAL OF LOGICS AND THEIR APPLICATIONS, 2020, 7 (03): : 337 - 359
  • [7] Hilbert algebras in a non-classical framework: Hilbert algebras With apartness
    Romano, Daniel A.
    Journal of Applied Logics, 2020, 7 (03): : 337 - 359
  • [8] A Note on Hilbert Algebras
    Figallo, Aldo
    Ziliani, Alicia
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (04) : 667 - 676
  • [9] CENTRAL HILBERT ALGEBRAS
    Jun, Young Bae
    Park, Chul Hwan
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2008, 15 (03): : 309 - 313
  • [10] Derivations of Hilbert Algebras
    Iampan, Aiyared
    Alayakkaniamuthu, R.
    Sundari, P. Gomathi
    Rajesh, N.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
12345