TY  - GEN
AU  - Chekhlov,Andrey R.
AU  - Danchev,Peter V.
TI  - Weakly fully and characteristically inert socleregular Abelian p-groups
KW  - инертные цокольно-регулярные группы
KW  - абелевы p-группы
KW  - статьи в журналах
N1  - Библиогр.: 28 назв
N2  - 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
UR  - http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000997861
ER  -