Identities for the ternary commutator

被引：23

作者：

Bremner, M ^{[1
]}

机构：

[1] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada

来源：

JOURNAL OF ALGEBRA | 1998年 / 206卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1006/jabr.1998.7433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper classifies all identities of degree 7 satisfied by the ternary commutator in an associative ternary algebra. (Seven is the lowest degree for which non-trivial identities exist.) These identities are ternary generalizations of the Jacobi identity for Lie algebras. (C) 1998 Academic Press.

引用

页码：615 / 623

页数：9

共 9 条

[1]

Baranovic T. M., 1975, RUSS MATH SURV, V30, P61

[2] Varieties of anticommutative n-ary algebras [J].

Bremner, M .

JOURNAL OF ALGEBRA, 1997, 191 (01) :76-88

[3]

Bremner M., 1996, NOVA J MATH GAME THE, V4, P119

[4] Higher-order simple Lie algebras [J].

deAzcarraga, JA ;

Bueno, JCP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 184 (03) :669-681

[5]

GILIPPOV VT, 1985, SIBERIAN MATH J, V26, P879

[6]

GNEDBAYE AV, 1995, CR ACAD SCI I-MATH, V321, P147

[7]

GNEDBAYE AV, 1995, THESIS U L PASTEUR S

[8] ON LIE K-ALGEBRAS [J].

HANLON, P ;

WACHS, M .

ADVANCES IN MATHEMATICS, 1995, 113 (02) :206-236

[9]

Kurosh A. G., 1969, RUSS MATH SURV, V24, P1

← 1 →