Radicals and subdirect decompositions of Ω-groups

Journal of the Australian Mathematical Society

R. Mlitz¹ 

[1] S. Veldsman

关键词: 08 A 05;    16 A 21;   

DOI  :  10.1017/S144678870003562X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Starting with a class ℳ of Ω-groups, necessary and sufficient conditions on ℳ are given to ensure that the corresponding Hoehnke radical ρ (determined by the subdirect closure of ℳ as semisimple class) is a radical in the sense of Kurosh and Amitsur; has a hereditary semisimple class; satisfies the ADS-property; has a hereditary radical class or satisfies ρN ∩ I ⊆ ρI and lastly, have both a hereditary radical and semisimple class or satisfies ρN ∩ I = ρI.

【 授权许可】

Unknown