Kemoklidze, T. (2013) The Lattice of Fully Invariant Subgroups of the Cotorsion Hull. Advances in Pure Mathematics, 3, 670-697. http://www.emis.de/journals/GMJ/vol13/contents.htm http://dx.doi.org/10.4236/apm.2013.38090

has been cited by the following article:

• TITLE: On the Full Transitivity of a Cotorsion Hull of the Pierce Group

  AUTHORS: Tariel Kemoklidze

  KEYWORDS: Full Transitivity of a Group; Cotorsion Hull; Fully Invariant Subgroup

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.3, March 28, 2014

  ABSTRACT: The paper considers the problem of full transitivity of a cotorsion hull of a separable primary group G when a ring of endomorphisms E(G) of the group G has the form , where Es(G) is a subring of small endomorphisms of the ring E(G), whereas Jp is a ring of integer P-adic numbers. Investigation of the issue of full transitivity of a group is essentially helpful in studying its fully invariant subgroups as well as the lattice formed by these subgroups. It is proved that in the considered case, the cotorsion hull is not fully transitive. A lemma is proposed, which can be used in the study of full transitivity of a group and in other cases.