点态化完备代数正规类中的遗传幂等根、补根、对偶根、子幂等根及诣零根

The Hereditary Idempotent Radicals, Supplementing Radicals, Dual Radicals, Sub-Idempotent Radicals and Nil Radicals in Normal Classes of Complete Pointwise Algebra

本文首先研究点态化完备代数正规类中的遗传幂等根、补根、对偶根、子幂等根的的结构性质;然后研究了诣零根、幂零根、局部幂零根、可数局部幂零根的结构性质。

In this paper, we first study some constitutive properties of hereditary idempotent radicals, sup-plementing radicals, dual radicals, sub-idempotent radicals, and then study some constitutive properties of nil radicals, nilpotent radicals, local nilpotent radicals, countable local nilpotent radicals in normal classes of complete pointwise algebra.