Authors
Citation
M. Bremner, IDENTITIES FOR THE TERNARY COMMUTATOR, Journal of algebra (Print), 206(2), 1998, pp. 615-623
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00218693
Volume
206
Issue
2
Year of publication
1998
Pages
615 - 623
Database
ISI
SICI code
0021-8693(1998)206:2<615:IFTTC>2.0.ZU;2-I
Abstract
This paper classifies all identities of degree 7 satisfied by the tern
ary 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) 1
998 Academic Press.