Kemoklidze, Tariel The lattice of fully invariant submodules of a reduced cotorsion \(p\)-adic module. (English) Zbl 1230.20052 Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 1, 17-21 (2010). Summary: The paper considers the lattice of fully invariant submodules of a reduced cotorsion \(p\)-adic module \(T^*\oplus C\), where \(T\) is a countable direct sum of torsion-complete \(p\)-groups and \(C\) is a torsion-free, algebraically compact group. It is shown that this lattice is isomorphic to a lattice of filters of a semilattice made up of infinite matrices and indicators. MSC: 20K27 Subgroups of abelian groups 13C13 Other special types of modules and ideals in commutative rings 20E15 Chains and lattices of subgroups, subnormal subgroups 20K21 Mixed groups 20K10 Torsion groups, primary groups and generalized primary groups Keywords:cotorsion groups; cotorsion hulls; direct sums of torsion-complete \(p\)-groups; lattices of fully invariant submodules; lattices of subgroups PDFBibTeX XMLCite \textit{T. Kemoklidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 4, No. 1, 17--21 (2010; Zbl 1230.20052)