Jordan counterparts of Rickart and Baer $*$-algebras, II

Autor:	Ayupov, Shavkat, Arzikulov, Farhodjon
Rok vydání:	2016
Předmět:	Mathematics - Operator Algebras Mathematics - Rings and Algebras Primary 17C10 17C27 Secondary 17C20 17C50 17C65 Primary 17C10 17C27 Secondary 17C20 17C50 17C65
Druh dokumentu:	Working Paper
Popis:	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 for a Jordan algebra to be a BJ-algebra. Also, it is proved that every finite dimensional Jordan algebra without nilpotent elements, which have square roots, is a BJ-algebra. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.06913 Zobrazit plný text záznamu View this record from Arxiv