Chekhlov, A. R. Separable and vector groups whose projectively invariant subgroups are fully invariant. (Russian, English) Zbl 1212.20073 Sib. Mat. Zh. 50, No. 4, 942-953 (2009); translation in Sib. Math. J. 50, No. 4, 748-756 (2009). Summary: We study the Abelian groups all of whose projectively invariant subgroups are fully invariant. We describe the separable and vector groups with this property. Cited in 11 Documents MSC: 20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups 20K27 Subgroups of abelian groups 20K20 Torsion-free groups, infinite rank Keywords:direct summands; fully invariant subgroups; projectively invariant subgroups; separable groups; vector groups PDFBibTeX XMLCite \textit{A. R. Chekhlov}, Sib. Mat. Zh. 50, No. 4, 942--953 (2009; Zbl 1212.20073); translation in Sib. Math. J. 50, No. 4, 748--756 (2009) Full Text: EuDML EMIS