点态化完备代数正规类中的小理想
The Small Ideals in Normal Classes of Pointwise Complete Alagebra
摘要: 本文定义了点态化完备代数正规类中的小理想及小理想遗传根，讨论了小理想及根R和R-半单类SR与小理想相关的2个条件(*)与(**)的一些性质，进一步讨论了根R是一个小理想遗传根的2个条件。
Abstract: The small ideals and small ideals hereditary radicals in normal classes of pointwise complete algebras are defined, some properties of small ideals and two conditions (*) and (**) related to small ideals for radicals R and R-semisimple classes SR are discussed, and further two conditions that radical R is a small ideals hereditary radical are given.
文章引用：杨宗文, 娄本功. 点态化完备代数正规类中的小理想[J]. 理论数学, 2021, 11(10): 1691-1695. https://doi.org/10.12677/PM.2021.1110189

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