Title of article
On dimensions of derived algebra and central factor of a Lie algebra
Author/Authors
Arabyani، Homayoon نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad , , Saeedi، Farshid نويسنده Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran ,
Issue Information
دوماهنامه با شماره پیاپی 0 سال 2015
Pages
10
From page
1093
To page
1102
Abstract
Some Lie algebra analogues of Schurʹs theorem and its converse are presented. As a result, it is shown that for a capable Lie algebra $L$ we always have $\dim L/Z(L)\leq2(\dim(L^2))^2$. < We also give > some examples supporting our results.
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2015
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2389245
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