A class of regularities for rings

Journal of the Australian Mathematical Society

C. Roos¹ 

关键词: 16 A 21;   

DOI  :  10.1017/S1446788700013446

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper a general concept of regularity for rings is defined. It is shown that every regularity determines in a natural way a subradical and a radical for rings. A wide class of regularities is constructed: the class of polynomial regularities. All well-known regularities, such as the Perlis-Jacobson regularity, the von Neumann regularity and many others, belong to this class. Special attention is paid to regularities which are elementary in the sense that the so-called unic and nullic polynomial regularities can be thought of as intersections of the elementary ones.

【 授权许可】

Unknown