60 citations · 262 across the 47 of their papers we have counts for
30 papers · 1 filter
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
Ring isomorphisms of -subalgebras of Murray-von Neumann factors
Shavkat Ayupov, Karimbergen Kudaybergenov
The present paper is devoted to study of ring isomorphisms of -subalgebras of Murray--von Neumann factors. Let $\cM,$ $\cN$ be von Neumann factors of type II and let $S(…
2-Local automorphisms on -algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, Turabay Kalandarov
The paper is devoted to 2-local automorphisms on -algebras. Using the technique of matrix algebras over a unital Banach algebra we prove that any 2-local automorphism on a…
2-Local derivations on matrix algebras and algebras of measurable operators
Shavkat Ayupov, Karimbergen Kudaybergenov, Amir Alauadinov
Let \(\mathcal{A}\) be a unital Banach algebra such that any Jordan derivation from \(\mathcal{A}\) into any \(\mathcal{A}\)-bimodule \(\mathcal{M}\) is a derivation. We prove that…
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…
Jordan counterparts of Rickart and Baer -algebras, II
Shavkat Ayupov, Farhodjon Arzikulov
We introduce and investigate new classes of Jordan algebras which are close to but wider than Rickart and Baer Jordan algebras considered in our previous paper. Such Jordan algebra…