27 citations · 36 across the 5 of their papers we have counts for
5 papers
Local and 2-local automorphisms of some solvable Leibniz algebras
F. N. Arzikulov, I. A. Karimjanov, S. M. Umrzaqov
In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complem…
Local and 2-local derivations of the octonion algebra
F. N. Arzikulov, I. A. Karimjanov, S. Uguz
In the present paper, we prove that a local derivation on the octonion (Cayley) algebra over an arbitrary field, satisfying some conditions is a derivation, and every…
2-local derivations on semi-finite von Neumann algebras
Shavkat Ayupov, Farkhad Arzikulov
In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.
2-Local Derivations on Von Neumann Algebras of Type I
Shavkat Ayupov, Farkhad Arzikulov
In the present paper we prove that every 2-local derivation on a von Neumann algebra of type I is a derivation.
Infinite norm decompositions of C-algebras
Farkhad Arzikulov
In the given article the notion of infinite norm decomposition of a C-algebra is investigated. The norm decomposition is some generalization of Peirce decomposition. It is prov…