Hereditary subalgebras of a JB-algebra and the Jordan Pedersen ideal

被引：0

作者：

Faal, Ramin ^{[1
]}

Hejazian, Shirin ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Pure Math, POB 1159, Mashhad 91775, Iran

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 523卷 / 02期

关键词：

JB-algebra; Hereditary subalgebra; Hereditary ideal; Jordan Pedersen ideal;

D O I：

10.1016/j.jmaa.2023.127031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study (not necessarily closed) hereditary subalgebras of a JB-algebra. It is proved that in every JB-algebra A there exists a minimal hereditary dense ideal which is called the Jordan Pedersen ideal. If A is a JC-algebra the Jordan Pedersen ideal is minimal among all dense ideals. The hereditary properties of the Jordan Pedersen ideal are also studied.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：15

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