In this paper, we present some basic properties concerning the quasiderivation algebra \(\mathrm{QDer}(A)\) and the quasicentroid algebra \(\mathrm{QC}(A)\) of a Novikov algebra A. Furthermore, we determine the dimension of Novikov algebras A with condition \(\mathrm{QDer}(A)=\mathrm{End}(A)\). We also show that the quasiderivations of A can be embedded as derivations in a larger Novikov algebra.

中文翻译：

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Novikov代数的Quasiderivations和拟质心

在本文中，我们提出了关于quasiderivation代数一些基本属性\（\ mathrm {QDer}（A）\）和quasicentroid代数\（\ mathrm {QC}（A）\）一个诺维科夫代数的甲。此外，我们确定条件为（（\ mathrm {QDer}（A）= \ mathrm {End}（A）\）的Novikov代数A的维数。我们还表明，A的拟边衍生可以作为派生嵌入更大的Novikov代数中。