Weakly fully and characteristically inert socle-regular Abelian p-groups

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DOI Доступ к ресурсу на сайте издателя			10.1080/00927872.2022.2079131

Title: Weakly fully and characteristically inert socle-regular Abelian p-groups
Creator: Chekhlov, Andrey R.
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Danchev, Peter V.
Date: 2022
DOI: 10.1080/00927872.2022.2079131
Description: In regard to two recent publications in the Mediterranean J. Math. (2021) and Forum Math. (2021) related to fully and characteristically inert socleregularity, respectively, we define and study the so-called weakly characteristically inert socle-regular groups. In that aspect, as a culmination of the investigations of this sort, some more global results are obtained and, moreover, some new concrete results concerning the weakly fully inert socle-regular groups, defined as in the firstly mentioned above paper, are also established. In particular, we prove that all torsion-complete groups are characteristically inert socle-regular, which encompasses an achievement from the secondly mentioned paper and completely settles the problem posed there about this class of groups.

Created: 10-03-2023

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Механико-математический факультет Weakly fully and characteristically inert socle-regular Abelian p-groups