点态化完备代数正规类中的λ-根和正则根

Pure Mathematics 理论数学, 2019, 9(7), 836-842

Published Online September 2019 in Hans. http://www.hanspub.org/journal/pm https://doi.org/10.12677/pm.2019.97109

The λ-Radical and Regular Radical in Normal Classes of Complete Pointwise Algebra

Zongwen Yang, Qinghai He

Department of Mathematics, Yunnan University, Kunming Yunnan

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Received: Aug. 29, 2019; accepted: Sep. 18, 2019; published: Sep. 25, 2019

Abstract

Two equivalent conditions of radical class are given, and two kinds of algebras of λ-algebra and regular algebra in normal class of pointwise complete algebra are defined. It is proved that class λ of λ-algebra and class ν of regular algebras are all radical classes.

Keywords

Normal Classes of Complete Pointwise Algebras, λ-Algebras, λ-Radical, Regular Algebras, Regular Radical

点态化完备代数正规类中的λ-根和正则根

杨宗文，何青海

云南大学，数学系，云南 昆明

收稿日期：2019年8月29日；录用日期：2019年9月18日；发布日期：2019年9月25日

摘 要

给出了根类的判别的2组等价条件，定义了点态化完备代数正规类中的λ-代数与正则代数2类代数，并证明了λ-代数类λ与正则代数类ν都是根类。

关键词

点态化完备代数正规类，λ-代数，λ-根，正则代数，正则根

文章引用: 杨宗文, 何青海. 点态化完备代数正规类中的λ-根和正则根[J]. 理论数学, 2019, 9(7): 836-842. DOI: 10.12677/pm.2019.97109