Radicals related to the Brown-McCoy radical in some varieties of algebras

Journal of the Australian Mathematical Society

B. J. Gardner¹ 

关键词: 16 A 21;    17 A 30;   

DOI  :  10.1017/S1446788700012222

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The Brown-McCoy radical is the upper radical defined by the class of simple rings with identities. For associative or alternative rings the Brown-McCoy radical is hereditary, and its semi-simple class consists of all subdirect products of simple rings with identities. In this paper we present some classes of simple non-associative algebras whose upper radicals behave similarly. Classifications are then obtained of ‘most’ semi-simple radical classes of (γ, δ) and right alternative rings.

【 授权许可】

Unknown