11 citations · 14 across the 6 of their papers we have counts for
7 papers
A non-abelian tensor product of algebras with bracket
José Manuel Casas, Emzar Khmaladze, Manuel Ladra
We introduce and study a non-abelian tensor product of two algebras with bracket with compatible actions on each other. We investigate its applications to the universal central ext…
Isoclinism of Algebras With Bracket
J. M. Casas, S. Hadi Jafari
We introduce the notion of isoclinism between central extensions in the category of algebras with bracket. We provide several equivalent conditions under which algebras with bracke…
Markov processes of cubic stochastic matrices: {\it Quadratic stochastic processes}
J. M. Casas, M. Ladra, U. A. Rozikov
We consider Markov processes of cubic stochastic (in a fixed sense) matrices which are also called quadratic stochastic process (QSPs). A QSP is a particular case of a continuous-t…
A non-abelian tensor product of Hom-Lie algebras
J. M. Casas, E. Khmaladze, N. Pacheco Rego
Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal (-)central extensions of Hom-Lie algebras and to est…
Solvability criteria for the equation in the field of -adic numbers
J. M. Casas, B. A. Omirov, U. A. Rozikov
We establish the solvability criteria for the equation in the field of -adic numbers, for any in two cases: (i) is not divisible by ; (ii) . Using these…
On evolution algebras
J. M. Casas, M. Ladra, B. A. Omirov +1
The structural constants of an evolution algebra is given by a quadratic matrix . In this work we establish equivalence between nil, right nilpotent evolution algebras and evolu…
A chain of evolution algebras
J. M. Casas, M. Ladra, U. A. Rozikov
We introduce a notion of chain of evolution algebras. The sequence of matrices of the structural constants for this chain of evolution algebras satisfies an analogue of Chapman-Kol…