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Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra


Citation

Ahmad Jamri, Ayu Ameliatul Shahilah and Said Husain, Sharifah Kartini and Rakhimov, Isamiddin Sattarovich (2016) Combinatorial structures associated with low dimensional second class of non-Lie filiform Leibniz algebra. In: 24th National Symposium on Mathematical Sciences (SKSM24), 27-29 Sept. 2016, Primula Beach Hotel, Kuala Terengganu, Terengganu. (pp. 1-8).

Abstract / Synopsis

In this talk we propose a graphical representation of some classes of Leibniz algebras. With each of algebra from these classes we associate a graph. This assignment enables us to reformulate some structural properties of the Leibniz algebras in terms of some conditions for the graphs. The talk focuses on a so-called filiform Leibniz algebras. It is well-known that this class is split into three subclasses called first, second and third class denoted, in dimension n over a field K, by FLbn(K), SLbn(K) and TLbn(K), respectively. In this article, we concern more on the combinatorial structures associated with SLbn(K) in low-dimensions.


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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4995834
Publisher: AIP Publishing
Keywords: Leibniz algebras; Filiform Leibniz algebras; Graph theory
Depositing User: Nabilah Mustapa
Date Deposited: 25 Oct 2017 09:37
Last Modified: 25 Oct 2017 09:37
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4995834
URI: http://psasir.upm.edu.my/id/eprint/57665
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