HOM-MALTSEV, HOM-ALTERNATIVE, AND HOM-JORDAN ALGEBRAS

被引:0
作者
Yau, Donald [1 ]
机构
[1] Ohio State Univ Newark, Dept Math, 1179 Univ Dr, Newark, OH 43055 USA
来源
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2012年 / 11卷
关键词
Hom-Maltsev algebras; Hom-Maltsev admissible algebras; Homalternative algebras; Hom-Moufang identities; Hom-Jordan algebras; Hom-Jordan-admissible algebras;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Hom-Maltsev(-admissible) algebras are defined, and it is shown that Hom-alternative algebras are Hom-Maltsev admissible. With a new definition of a Hom-Jordan algebra, it is shown that Hom-alternative algebras are Hom-Jordan-admissible. Hom-type generalizations of some well-known identities in alternative algebras, including the Moufang identities, are obtained.
引用
收藏
页码:177 / 217
页数:41
相关论文
共 41 条
[1]   POWER-ASSOCIATIVE RINGS [J].
ALBERT, AA .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 64 (NOV) :552-593
[2]   A STRUCTURE THEORY FOR JORDAN ALGEBRAS [J].
ALBERT, AA .
ANNALS OF MATHEMATICS, 1947, 48 (03) :546-567
[3]   Horn-Lie superalgebras and Horn-Lie admissible superalgebras [J].
Ammar, Faouzi ;
Makhlouf, Abdenacer .
JOURNAL OF ALGEBRA, 2010, 324 (07) :1513-1528
[4]   Generalization of n-ary Nambu algebras and beyond [J].
Ataguema, H. ;
Makhlouf, A. ;
Silvestrov, S. .
JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (08)
[5]  
Baez JC, 2002, B AM MATH SOC, V39, P145
[6]   THE STRUCTURE OF ALTERNATIVE DIVISION RINGS [J].
BRUCK, RH ;
KLEINFELD, E .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (06) :878-890
[7]  
Carten E., 1914, ANN SCI ECOLE NORM S, V31, P263, DOI DOI 10.24033/ASENS.676
[8]  
Fregier Y., 2009, J GEN LIE THEORY APP, V3, P285
[9]   On horn-algebras with surjective twisting [J].
Gohr, Aron .
JOURNAL OF ALGEBRA, 2010, 324 (07) :1483-1491
[10]  
Gursey F., 1996, ROLE DIVISION JORDAN