On class operators for the lower radical class and semisimple closure constructions

IF 0.6 3区 数学 Q3 MATHEMATICS Acta Mathematica Hungarica Pub Date : 2024-12-03 DOI:10.1007/s10474-024-01492-1
N. R. McConnell, R. G. McDougall, T. Stokes, L. K. Thornton
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引用次数: 0

Abstract

We construct the lower radical class and the semisimple closure for a given class using class operators and detail some of the properties of these operators and their interplay with the operators already used in radical theory. The setting is the class of algebras introduced by Puczy lowski which ensures the results hold in groups, multi-operator groups such as rings, as well as loops and hoops.

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下基类和半简单闭包结构的类操作符
我们使用类算子构造了下根类和给定类的半简单闭包,并详细说明了这些算子的一些性质以及它们与根理论中已经使用的算子的相互作用。设置是由Puczy lowski引入的一类代数,它确保结果在群、多算子群(如环)以及环和环中成立。
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来源期刊
CiteScore
1.50
自引率
11.10%
发文量
77
审稿时长
4-8 weeks
期刊介绍: Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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