Weakly N1-separable quasi-complete Abelian p-groups are bounded

Автор: Danchev Peter V.

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 3 т.11, 2009 года.

Бесплатный доступ

We prove that each weakly N1-separable quasi-complete abelian p-group is bounded, thus extending recent results of ours in (Vladikavkaz Math. J., 2007 and 2008).

Cлабо n1-сепарабельные группы, weakly n1-separable groups, quasi-complete groups, torsion-complete groups, basic subgroups, bounded groups

Короткий адрес: https://sciup.org/14318283

IDR: 14318283

Список литературы Weakly N1-separable quasi-complete Abelian p-groups are bounded

  • Danchev P. V. A note on weakly \aleph_1-separable p-groups//Vladikavkaz Math. J.-2007.-Vol. 9, № 1.-P. 30-37.
  • Danchev P. V. Quasi-complete Q-groups are bounded//Vladikavkaz Math. J.-2008.-Vol. 10, № 1.-P. 24-26.
  • Danchev P. V. Generalized Dieudonn\'e and Hill criteria//Portugaliae Math.-2008.-Vol. 65, № 1.-P. 121-142.
  • Fuchs L. Infinite Abelian Groups. I, II.-Moscow: Mir, 1974, 1977.-In Russian.
  • Kulikov L. Y. On the theory of abelian groups of arbitrary cardinality//Mat. Sb.-1945.-Vol. 16, № 2.-P. 129-162.-In Russian.
  • Megibben C. K. \omega_1-separable p-groups//Abelian Group Theory (Oberwolfach, 1985).-New York: Gordon and Breach, 1987.-P. 117-136.
Статья научная