Radical decompositions of idempotent algebras

Journal of the Australian Mathematical Society

B. J. Gardner¹ 

关键词: 08 A 05;    08 C 99;    20 M 11;   

DOI  :  10.1017/S1446788700024666

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

A variant of Kurosh-Amitsur radical theory is developed for algebras with a collection of (finitary) operations ω, all of which are idempotent, that is satisfy the condition ω(x, x,…, x) = x. In such algebras, all classes of any congruence are subalgebras. In place of a largest normal radical subobject, a largest congruence with radical congruence classes is considered. In congruence-permutable varieties the parallels with conventional radical theory are most striking.

【 授权许可】

Unknown