45 citations · 81 across the 10 of their papers we have counts for
10 papers
On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops
Alexander Grishkov, Marina Rasskazova, Liudmila Sabinina +1
In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers , which are nilpotent module its Lie center. It is proved that…
Operators on positive semidefinite inner product spaces
Victor A. Bovdi, Tetiana Klymchuk, Tetiana Rybalkina +2
We give canonical forms of selfadjoint and isometric operators on a complex vector space with scalar product given by a positive semidefinite Hermitian form, and of Hermitian f…
Derivations of group rings
Orest D. Artemovych, Victor A. Bovdi, Mohamed A. Salim
Let R[G] be the group ring of a group G over an associative ring R with unity such that all prime divisors of orders of elements of G are invertible in R. If R is finite and G is a…
The variety of dual mock-Lie algebras
Luisa M. Camacho, Ivan Kaygorodov, Victor Lopatkin +1
We classify all complex - and -dimensional dual mock-Lie algebras by algebraic and geometric way. Also we find all non-trivial complex -dimensional dual mock-Lie algebras.
Restricted summability of the multi-dimensional Cesàro means of Walsh-Kaczmarz-Fourier series
Károly Nagy, Mohamed Salim
The properties of the maximal operator of the -means () of the multi-dimensional Walsh-Kaczmarz-Fourier series are discussed, where the set of indices is…
Completely simple endomorphism rings of modules
V. A. Bovdi, M. A. Salim, Mihail Ursul
It is proved that if A_p is a countable elementary abelian p-group, then: (i) The ring End(A_p) does not admit a nondiscrete locally compact ring topology. (ii) Under (CH) the simp…