Two-Local derivations on associative and Jordan matrix rings over commutative rings

Autor:	Ayupov, Shavkat, Arzikulov, Farhodjon
Rok vydání:	2017
Předmět:	Mathematics - Rings and Algebras Mathematics - Operator Algebras 16W25 46L57 47B47 16W25 46L57 47B47 17C65
Druh dokumentu:	Working Paper
DOI:	10.1016/j.laa.2017.02.012
Popis:	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 ring. We also develop a Jordan analog of the above method and prove that every 2-local inner derivation on the Jordan matrix ring over a commutative ring is a derivation. Comment: 19 pages, Linear Algebra and its Applications 2017
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.09910 Zobrazit plný text záznamu View this record from Arxiv