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- Title
The Lattice of Fully Invariant Subgroups of a Cotorsion Hull.
- Authors
Kemoklidze, T.
- Abstract
We consider the lattices of fully invariant subgroups of cotorsion hulls for different classes of separable primary Abelian groups. Based on the results of A. Mader, A. I. Moskalenko, A. L. S. Corner, and R. S. Pierce, these lattices are discussed in situations, where the primary group is a direct sum of cyclic p-groups, a direct sum of torsion-complete groups, or an additive group of the primary group of ring endomorphisms is a direct sum of a group of small endomorphisms and a p-adic completion of a direct sum of infinite cyclic groups. The questions concerning the full transitivity of a cotorsion hull are discussed.
- Subjects
ENDOMORPHISM rings; INFINITE groups; CYCLIC groups; ABELIAN groups; GROUP rings; ENDOMORPHISMS
- Publication
Journal of Mathematical Sciences, 2023, Vol 275, Issue 6, p744
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06716-3