scholarly journals Two-step nilpotent Leibniz algebras

2021 ◽  
Author(s):  
Gianmarco La Rosa ◽  
Manuel Mancini
Keyword(s):  
Leibniz Algebras

On solvable Leibniz algebras whose nilradical has characteristic sequence (m1,m2,m3)

2018 ◽  
Vol 2018 (3) ◽  
pp. 4-17
Author(s):  
K.K. Abdurasulov ◽  
Drew Horton ◽  
U.X. Mamadaliyev
Keyword(s):  
Characteristic Sequence ◽  
Leibniz Algebras

scholarly journals Naturally Graded 2-Filiform Leibniz Algebras

2010 ◽  
Vol 38 (10) ◽  
pp. 3671-3685 ◽  
Author(s):  
L. M. Camacho ◽  
J. R. Gómez ◽  
A. J. González ◽  
B. A. Omirov
Keyword(s):  
Leibniz Algebras

On Description of Leibniz Algebras Corresponding to sl 2

2012 ◽  
Vol 16 (5) ◽  
pp. 1507-1519 ◽  
Author(s):  
B. A. Omirov ◽  
I. S. Rakhimov ◽  
R. M. Turdibaev
Keyword(s):  
Leibniz Algebras

Criteria for solvability and supersolvability in Leibniz algebras

2017 ◽  
Vol 46 (5) ◽  
pp. 2083-2088
Author(s):  
Kailash C. Misra ◽  
Ernie Stitzinger ◽  
Bethany Turner
Keyword(s):  
Leibniz Algebras

Classification of three-dimensional solvable p-adic Leibniz algebras

2010 ◽  
Vol 2 (3) ◽  
pp. 207-221 ◽  
Author(s):  
A. Kh. Khudoyberdiyev ◽  
T. K. Kurbanbaev ◽  
B. A. Omirov
Keyword(s):  
Three Dimensional ◽  
Leibniz Algebras

Abelian extensions of leibniz algebras

1999 ◽  
Vol 27 (6) ◽  
pp. 2833-2846 ◽  
Author(s):  
J.M. Casas ◽  
E. Faro ◽  
A.M. Vieites
Keyword(s):  
Abelian Extensions ◽  
Leibniz Algebras

scholarly journals Rota-Baxter Leibniz Algebras and Their Constructions

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Liangyun Zhang ◽  
Linhan Li ◽  
Huihui Zheng
Keyword(s):  
Hopf Algebra ◽  
Weak Hopf Algebra ◽  
Associative Algebras ◽  
Leibniz Algebras

In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and discover some Rota-Baxter Leibniz algebras from augmented algebra, bialgebra, and weak Hopf algebra. In the end, we give all Rota-Baxter operators of weight 0 and -1 on solvable and nilpotent Leibniz algebras of dimension ≤3, respectively.

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