On c-nilpotent multiplier and c-covers of a pair of Lie algebras |
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| Authors: | Hesam Safa Homayoon Arabyani |
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| Affiliation: | 1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iranh.safa@ub.ac.ir;3. Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur, Iran |
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| Abstract: | In this paper, we characterize the structure of the c-nilpotent multiplier of a pair of Lie algebras concerning the c-covering pairs and discuss some results on the existence of c-covers of a pair of Lie algebras. Moreover, we show that every nilpotent pair of Lie algebras of class at most k with non-trivial c-nilpotent multiplier does not admit any c-covering pair, if c>k. Also, we obtain the structure of c-covers of a c-capable pair of Lie algebras. |
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| Keywords: | c-cover c-nilpotent multiplier pair of Lie algebras |
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