134 citations
- National University of UzbekistanUZ7 papers
- Academy of Sciences Republic of UzbekistanUZ6 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT6 papers
- University of BonnDE3 papers
- Czech Technical University in PragueCZ1 paper
- International Islamic University MalaysiaMY1 paper
- Universidad de GranadaES1 paper
- University of California, IrvineUS1 paper
- University of OsloNO1 paper
18 papers
Ring isomorphisms of Murray--von Neumann algebras
Shavkat Ayupov, Karimbergen Kudaybergenov
We give a complete description of ring isomorphisms between algebras of measurable operators affiliated with von Neumann algebras of type II
Finite-dimensional Leibniz algebra representations of
Tuuelbay Kurbanbaev, Rustam Turdibaev
All finite-dimensional Leibniz algebra bimodules of a Lie algebra over a field of characteristic zero are described.
Local derivations on measurable operators and commutativity
Shavkat Ayupov, Karimbergen Kudaybergenov
We prove that a von Neumann algebra is abelian if and only if the square of every derivation on the algebra of measurable operators, affiliated with , is a local deri…
Boundedness of completely additive measures with application to 2-local triple derivations
Jan Hamhalter, Karimbergen Kudaybergenov, Antonio M. Peralta +1
We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple der…
Local derivations on subalgebras of -measurable operators with respect to semi-finite von Neumann algebras
Farrukh Mukhamedov, Karimbergen Kudaybergenov
This paper is devoted to local derivations on subalgebras on the algebra of all -measurable operators affiliated with a von Neumann algebra without abelian summand…
-Local derivations on von Neumann algebras
Shavkat Ayupov, Karimbergen Kudaybergenov
The paper is devoted to the description of -local derivations on von Neumann algebras. Earlier it was proved that every -local derivation on a semi-finite von Neumann algebra…