ON PRIMITIVE JORDAN ALGEBRAS

被引:4
|
作者
ANQUELA, JA
MONTANER, F
机构
[1] UNIV ZARAGOZA,DEPT MATEMAT,E-50009 ZARAGOZA,SPAIN
[2] UNIV ZARAGOZA,DEPT MATEMAT APLICADA,CPS,E-50015 ZARAGOZA,SPAIN
关键词
D O I
10.1006/jabr.1994.1036
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we give a complete description of primitive Jordan algebras over fields of characteristic not two in the spirit of E. I. Zel'manov's classification of prime Jordan algebras (1983, Siberian Math. J. 24, No. 1, 73-85). We also prove that associative tight envelopes of special primitive Jordan algebras are also primitive. (C) 1994 Academic Press, Inc.
引用
收藏
页码:663 / 674
页数:12
相关论文
共 50 条
  • [31] Generalized Jordan algebras
    Hentzel, Irvin Roy
    Labra, Alicia
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 422 (01) : 326 - 330
  • [32] BANACH JORDAN -ALGEBRAS
    PUTTER, PS
    YOOD, B
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1980, 41 (JUL) : 21 - 44
  • [33] ON JORDAN (CO)ALGEBRAS
    Nichita, Florin F.
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2014, 59 (04): : 401 - 409
  • [34] ORDERED JORDAN ALGEBRAS
    ROTHAUS, OS
    AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (05) : 925 - 939
  • [35] Lattices of Jordan algebras
    Covas, Ricardo
    Mexia, Joao Tiago
    Zmyslony, Roman
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (10) : 2679 - 2690
  • [36] MUTATIONS OF JORDAN ALGEBRAS
    HELWIG, KH
    MATHEMATISCHE ZEITSCHRIFT, 1968, 103 (01) : 1 - &
  • [37] TRACES ON JORDAN ALGEBRAS
    PEDERSEN, GK
    STORMER, E
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1982, 34 (02): : 370 - 373
  • [38] ON ASSOCIATORS IN JORDAN ALGEBRAS
    TSAI, CE
    AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (07): : 748 - &
  • [39] JORDAN ALGEBRAS AND THEIR APPLICATIONS
    MCCRIMMON, K
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 84 (04) : 612 - 627
  • [40] Primitive varieties of algebras
    Cupona, G
    Markovski, S
    ALGEBRA UNIVERSALIS, 1997, 38 (03) : 226 - 234