点态化完备代数正规类中的亚直既约代数类
The Subdirectly Irreducible Algebras Classes in Normal Classes of Complete Pointwise Algebra
摘要: 环及其它代数系统的根理论研究是代数研究中一个热门与较成熟的领域，Puczylowski建立了一般代数正规类的根理论。本文首先给出点态化的完备代数正规类概念，然后研究点态化完备代数正规类中的亚直既约代数类及其确定的上根——反单根的结构性质。
Abstract: The radicals of rings and other various algebraic structures have been researched very much. Puczylowski established the general theory of radicals of the objects called algebra. In this paper, we first give the concept of the normal classes of complete pointwise algebra, and then study some constitutive properties of the antisimple radical that the upper radical is determined by the sub-directly irreducible algebras classes with idempotent heart in normal classes of complete pointwise algebra.
文章引用：杨宗文, 何青海. 点态化完备代数正规类中的亚直既约代数类[J]. 理论数学, 2018, 8(5): 546-554. https://doi.org/10.12677/PM.2018.85072

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