Title of article :
Quasiderivations and Quasicentroids of Novikov Algebras
Author/Authors :
Zhou ، Xin School of Mathematics and Statistics - Northeast Normal University , Sun ، Bing School of Mathematics - Changchun Normal University , Zhao ، Xiaodong School of Mathematics and Statistics - Yili Normal University , Chen ، Liangyun School of Mathematics and Statistics - Northeast Normal University
Abstract :
In this paper, we present some basic properties concerning the quasiderivation algebra QDer(A) and the quasicentroid algebra QC(A) of a Novikov algebra A. Furthermore, we determine the dimension of Novikov algebras A with condition QDer(A)=End(A) . We also show that the quasiderivations of A can be embedded as derivations in a larger Novikov algebra.
Keywords :
Generalized derivations · Quasiderivations · Quasicentroids
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
