In this paper the two classes of filiform Leibniz algebras μ_(0 )^n and μ_(1 )^n in (n+1) dimensions of filiform Leibniz algebras such that n≥2 will be considered. The study includes derivations of naturally graded Leibniz algebras of first class L_n and second class W_n, be algebras whose multiplications rules are defined by the μ_(0 )^n and μ_(1 )^n, respectively. The algebras of derivations of naturally graded Leibniz algebras are described by linear transformations and dimensions derivations. Finally, we determine number of derivations of naturally graded Leibniz algebras.
DOI | 10.11648/j.pamj.20140306.12 |
Published in | Pure and Applied Mathematics Journal (Volume 3, Issue 6, December 2014) |
Page(s) | 121-125 |
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Leibniz Algebra, Filiform Leibniz Algebra, Characteristically Nilpotent Algebra, Graded Leibniz Algebra, Derivation
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APA Style
AL-hossain Ahmad, Khiyar AL-hossain. (). Derivations of Some Filiform Leibniz Algebras. Pure and Applied Mathematics Journal, 3(6), 121-125. https://doi.org/10.11648/j.pamj.20140306.12
ACS Style
AL-hossain Ahmad; Khiyar AL-hossain. Derivations of Some Filiform Leibniz Algebras. Pure Appl. Math. J. , 3(6), 121-125. doi: 10.11648/j.pamj.20140306.12
AMA Style
AL-hossain Ahmad, Khiyar AL-hossain. Derivations of Some Filiform Leibniz Algebras. Pure Appl Math J. ;3(6):121-125. doi: 10.11648/j.pamj.20140306.12
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TY - JOUR T1 - Derivations of Some Filiform Leibniz Algebras AU - AL-hossain Ahmad AU - Khiyar AL-hossain Y1 - PY - N1 - https://doi.org/10.11648/j.pamj.20140306.12 DO - 10.11648/j.pamj.20140306.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 121 EP - 125 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20140306.12 AB - In this paper the two classes of filiform Leibniz algebras μ_(0 )^n and μ_(1 )^n in (n+1) dimensions of filiform Leibniz algebras such that n≥2 will be considered. The study includes derivations of naturally graded Leibniz algebras of first class L_n and second class W_n, be algebras whose multiplications rules are defined by the μ_(0 )^n and μ_(1 )^n, respectively. The algebras of derivations of naturally graded Leibniz algebras are described by linear transformations and dimensions derivations. Finally, we determine number of derivations of naturally graded Leibniz algebras. VL - 3 IS - 6 ER -