Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Arzikulov, Farhodjon"'
In the present paper, we introduce and study counterparts of Rickart involutive algebras, i.e., almost inner Rickart algebras. We prove that a nilpotent associative algebra, which has no nilpotent elements with nonzero square roots, is an almost inne
Externí odkaz:
http://arxiv.org/abs/2310.11519
In the present paper we prove that every 2-local inner derivation on the Lie ring of skew-adjoint matrices over a commutative $*$-ring is an inner derivation. We also apply our technique to various Lie algebras of infinite-dimensional skew-adjoint ma
Externí odkaz:
http://arxiv.org/abs/2204.03234
In the present paper we prove that every local and $2$-local derivation on conservative algebras of $2$-dimensional algebras are derivations. Also, we prove that every local and $2$-local automorphism on conservative algebras of $2$-dimensional algeb
Externí odkaz:
http://arxiv.org/abs/2104.05498
In the present paper we introduce and investigate the notion of 2-local linear map on vector spaces. A sufficient condition is obtained for linearity of a 2-local linear map on finite dimensional vector spaces. Based on this result we prove that ever
Externí odkaz:
http://arxiv.org/abs/1911.03194
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
In the present paper we prove that every 2-local inner derivation on the Lie ring of skew-symmetric matrices over a commutative ring is an inner derivation. We also apply our technique to various Lie algebras of infinite dimensional skew-adjoint matr
Externí odkaz:
http://arxiv.org/abs/1803.06281
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
In the present paper we prove that every 2-local inner derivation on the matrix ring over a commutative ring is an inner derivation and every derivation on an associative ring has an extension to a derivation on the matrix ring over this associative
Externí odkaz:
http://arxiv.org/abs/1705.09910
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
Publikováno v:
Uzbek Mathematical Journal, 2016, No 1, pp. 13-33
There are Jordan analogues of annihilators in Jordan algebras which are called Jordan annihilators. The present paper is devoted to investigation of those Jordan algebras every Jordan annihilator of which is generated by an idempotent as an inner ide
Externí odkaz:
http://arxiv.org/abs/1604.06911
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
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 algebras are called RJ- and BJ-algebras respectively. Criterions are given fo
Externí odkaz:
http://arxiv.org/abs/1604.06913
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
In the present paper 2-local derivations on various algebras of infinite dimensional matrix-valued functions on a compact are considered. It is proved that every 2-local derivation on such algebra is a derivation. Also we explain that the method deve
Externí odkaz:
http://arxiv.org/abs/1509.05701
Autor:
Ayupov, Shavkat, Arzikulov, Farhodjon
In this article it is proved that for every special AJW-algebra $A$ there exist central projections $e$, $f$, $g\in A$, $e+f+g=1$ such that (1) $eA$ is reversible and there exists a norm-closed two sided ideal $I$ of $C^*(eA)$ such that $eA={{}^\perp
Externí odkaz:
http://arxiv.org/abs/1505.02395