Just infinite alternative algebras

被引：0

作者：

A. S. Panasenko

机构：

[1] Novosibirsk State University,Sobolev Institute ofMathematics

[2] Russia Sobolev Institute of Mathematics,undefined

来源：

Mathematical Notes | 2015年 / 98卷

关键词：

alternative algebra; just infinite-dimensional algebra; prime algebra; Noetherian property with respect to one-sided ideals; Cayley–Dickson ring; exceptional algebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Alternative just infinite-dimensional algebras are studied, i.e., infinite-dimensional algebras in which every nonzero ideal has finite codimension. It is proved that these algebras are prime. In the nonassociative case, the Noetherian property with respect to one-sided ideals is proved, and the cases of Cayley–Dickson rings and exceptional algebras are investigated.

引用

页码：805 / 812

页数：7