4 papers · 1 filter
-Leibniz algebras and related -type algebras
Jobir Adashev, Ivan Kaygorodov
This paper introduces and investigates the structure of -Leibniz algebras, which serve as a parametric generalization of classical Leibniz algebras defined by a scalar . Th…
(Transposed) Poisson algebra structures on null-filiform associative algebras
Jobir Adashev, Xursanoy Berdalova, Feruza Toshtemirova
In this paper we investigate classifications of all (transposed) Poisson algebras of the associated associative null-filiform algebra
Classification of four-dimensional anti-dendriform algebras whose associated associative algebra has the center of dimension one
Jobir Adashev, Artem Lopatin, Zafar Normatov +1
This article is devoted to the classification of anti-dendriform algebras that are associated with associativity. They are characterized as algebras with two operations whose sum i…
Transposed Poisson structures on solvable Lie algebras with filiform nilradical
Kobiljon Abdurasulov, Jobir Adashev, Sabohat Eshmeteva
In this article, we described 1/2-derivations of solvable Lie algebras with a thread-like nilradical. Nontrivial transposed Poisson algebras with solvable Lie algebras are construc…