000			02231naa a2200349 4500
001			koha000997860
005			20230310171315.0
007			cr |
008			230310s2022 ru fs rus d
024	7		_a10.1007/s00605-021-01632-7 _2doi
035			_akoha000997860
040			_aRU-ToGU _brus _cRU-ToGU
100	1		_aChekhlov, Andrey R. _999171
245	1	0	_aUniversally fully and Krylov transitive torsion-free abelian groups _cA. R. Chekhlov, P. V. Danchev, P. W. Keef
336			_aТекст
337			_aэлектронный
504			_aБиблиогр.: 14 назв.
520	3		_aExtending results from our recent paper in Chekhlov et al. (J Algebra 566(2):187–204, 2021), we define and explore the classes of universally fully transitive and universally Krylov transitive torsion-free Abelian groups. A characterization theorem is proved in which numerous interesting properties of such groups are demonstrated. In addition, we prove the curious fact that these two classes do coincide as well as that in the reduced case these groups are just homogeneous separable and thus, in particular, they are both fully transitive and transitive. Some related results pertaining to H-full transitivity and H-Krylov transitivity for some special (fixed) groups H which, in particular, can be viewed as subgroups of a torsion-free Abelian group G are also obtained. Our achieved here results somewhat strengthen those established by Goldsmith and Strüngmann (Commun Algebra 33(4):1177–1191, 2005)
653			_aгруппы без кручения
653			_aсепарабельные группы
653			_aтранзитивные группы
653			_aвполне транзитивные группы
653			_aтранзитивные абелевы группы без кручения
655		4	_aстатьи в журналах _9878436
700	1		_aDanchev, Peter V. _9433885
700	1		_aKeef, Patrick W. _9852075
773	0		_tMonatshefte für Mathematik _d2022 _gVol.198, № 3. P. 517-534 _x0026-9255
852	4		_aRU-ToGU
856	4		_uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000997860
908			_aстатья
999			_c997860