38 citations · 54 across the 4 of their papers we have counts for
4 papers
Local and 2-local derivations on filiform associative algebras
K. K. Abdurasulov, Sh. A. Ayupov, B. B. Yusupov
This paper is devoted to the study of local and 2-local derivations of nullfiliform, filiform and naturally graded quasi-filiform associative algebras. We prove that these algebras…
Leibniz algebras associated with representations of filiform Lie algebras
Sh. A. Ayupov, L. M. Camacho, A. Kh. Khudoyberdiyev +1
In this paper we investigate Leibniz algebras whose quotient Lie algebra is a naturally graded filiform Lie algebra We introduce a Fock module for the algebra …
Topologies on Central Extensions of Von Neumann Algebras
Sh. A. Ayupov, K. K. Kudaybergenov, R. T. Djumamuratov
Given a von Neumann algebra we consider the central extension of We introduce the topology on generated by a center-valued norm and prove that it co…
Local Derivations on Algebras of Measurable Operators
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov +1
The paper is devoted to local derivations on the algebra of -measurable operators affiliated with a von Neumann algebra and a faithful normal se…