点态化完备代数正规类中Amitsur-Kurosh根的映射刻画
The Characterization of Amitsur-Kurosh Radicals in Normal Classes of Pointwise Complete Algebras Based on Mapping
摘要: 在点态化完备代数正规类中引入预根、拟根概念，证明了代数类中的幂等拟根与Amitsur-Kurosh根类可以相互确定，从而代数类中的幂等拟根P是Amitsur-Kurosh根类的基于映射刻画。
Abstract: In this paper, the concepts of preradical and quasiradical in the normal classes of pointwise com-plete algebras are defined. It is proved that the idempotent quasiradicals and Amitsur-Kurosh radicals in algebraic classes can be determined by each other. Thus, idemquasiradicals P in alge-braic classes are the mapping based characterization of Amitsur-Kurosh radicals.
文章引用：杨宗文, 娄本功. 点态化完备代数正规类中Amitsur-Kurosh根的映射刻画[J]. 理论数学, 2020, 10(12): 1138-1144. https://doi.org/10.12677/PM.2020.1012135

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