Jordan counterparts of Rickart and Baer $*$-algebras

Autor:	Ayupov, Shavkat, Arzikulov, Farhodjon
Rok vydání:	2016
Předmět:	Mathematics - Operator Algebras Mathematics - Rings and Algebras Primary 17C10 17C27 Secondary 17C20 17C50 17C65
Zdroj:	Uzbek Mathematical Journal, 2016, No 1, pp. 13-33
Druh dokumentu:	Working Paper
Popis:	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 ideal. We prove that a finite dimensional unital Jordan algebra satisfies this condition if and only if it has no nilpotent elements, and in this case it is a direct sum of simple Jordan algebras. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.06911 Zobrazit plný text záznamu View this record from Arxiv