Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras |
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| Authors: | Mohammad Reza Rismanchian Mehdi Araskhan |
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| Institution: | 1. Department of Mathematics, Shahre-Kord University, Shahre-Kord, Iran;2. Department of Mathematics, Islamic Azad University-Yazd Branch, Iran |
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| Abstract: | The purpose of this paper is to obtain some inequalities for the dimension of the Schur multiplier of a pair of finite dimensional Lie algebras and their factor Lie algebras. Moreover, we present some inequalities for the Schur multiplier of a pair of finite dimensional nilpotent Lie algebras. |
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