TY - SER AU - Chekhlov,Andrey R. AU - Danchev,Peter V. AU - Keef,Patrick W. TI - Generalizations of fully transitive and valuated Abelian p-groups KW - вполне транзитивные группы KW - транзитивные абелевы группы KW - абелевы группы KW - гомоморфизм KW - статьи в журналах N1 - Библиогр.: 17 назв N2 - If H is a subgroup of an Abelian p-group G, we say G is H-fully transitive if using the height valuation from G, for every x ∈ H, every valuated (i.e., non-height decreasing) homomorphism x → G extends to a valuated homomorphism H → G. This notion is a generalization of the classical definition of fully transitive groups due to Kaplansky. A number of interesting properties of this idea are established UR - http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000923598 ER -