Jordan counterparts of Rickart and Baer *-algebras, II

被引：0

作者：

Ayupov, Shavkat ^{[1
]}

Arzikulov, Farhodjon ^{[2
]}

机构：

[1] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent, Uzbekistan

[2] Andizhan State Univ, Dept Math, Andizhan, Uzbekistan

来源：

SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 13卷 / 01期

关键词：

Jordan algebras; Jordan annihilators; Degenerate radical; Baer*-algebras;

D O I：

10.1007/s40863-017-0083-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce and investigate new classes of Jordan algebras which are close to but wider than Rickart and Baer Jordan algebras. Such Jordan algebras are called weak RJ- and weak BJ-algebras respectively. Criterions are given for a Jordan algebra to be a weak BJ-algebra. Also, it is proved that every finite dimensional Jordan algebra A, the degenerate radical of which does not have nilpotent elements with a square root in A and the quotient with respect to this radical of which has no nilpotent elements, is a weak BJ-algebra.

引用

页码：27 / 38

页数：12