ON BASE RADICAL OPERATORS FOR CLASSES OF FINITE ASSOCIATIVE RINGS

被引：3

作者：

McDougall, R. G. ^{[1
]}

Thornton, L. K. ^{[1
]}

机构：

[1] Univ Sunshine Coast, Fac Sci Educ & Engn, Maroochydore, Qld 4588, Australia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2018年 / 98卷 / 02期

关键词：

base radical; base semisimple; finite associative ring;

D O I：

10.1017/S0004972718000461

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, class operators are used to give a complete listing of distinct base radical and semisimple classes for universal classes of finite associative rings. General relations between operators reveal that the maximum order of the semigroup formed is 46. In this setting, the homomorphically closed semisimple classes are precisely the hereditary radical classes and hence radical-semisimple classes, and the largest homomorphically closed subclass of a semisimple class is a radical-semisimple class.

引用

页码：239 / 250

页数：12

共 18 条

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