3 papers
math.RA2026
-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…
math.RA2025
(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
math.RA2024
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…