Open Accessn-derivations of lie color algebras
Author(s) -
Yizheng Li
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2109063l
Subject(s) - mathematics , center (category theory) , lie conformal algebra , pure mathematics , lie algebra , base (topology) , algebra over a field , zero (linguistics) , ring (chemistry) , derivation , generalized kac–moody algebra , affine lie algebra , current algebra , mathematical analysis , medicine , linguistics , chemistry , philosophy , artery , surgery , organic chemistry , crystallography
The aim of this article is to discuss the n-derivation algebras of Lie color algebras. It is proved that, if the base ring contains 1/n-1, L is a perfect Lie color algebra with zero center, then every triple derivation of L is a derivation, and every n-derivation of the derivation algebra nDer(L)) is an inner derivation.