quasiderivation

English

Etymology

quasi- +‎ derivation

Noun

quasiderivation (plural quasiderivations)

1. (mathematics) This term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
   • 2016, Ruipu Bai, Qiyong Li, Kai Zhang, “Generalized derivations of $3$-Lie algebras”, in arXiv‎^[1]:

     The main results are: for all $3$-Lie algebra $A$, 1) the generalized derivation algebra $GDer(A)$ is the sum of quasiderivation algebra $QDer(A)$ and quasicentroid $Q\Gamma (A)$; 2) quasiderivations of $A$ can be embedded as derivations in a larger algebra; 3) quasiderivation algebra $QDer(A)$ normalizer quasicentroid, that is, $[QDer(A),Q\Gamma (A)]\subseteq Q\Gamma (A)$; 4) if $A$ contains a maximal diagonalized tours $T$, then $QDer(A)$ and $Q\Gamma (A)$ are diagonalized $T$-modules, that is, as $T$-modules, $(T,T)$ semi-simplely acts on $QDer(A)$ and $Q\Gamma (A)$, respectively..