On κ-Bijective Homomorphisms of Totally Projective Abelian p-Groups
Keywords:
Abelian Groups, κ, -Bijections, Totally Projective Groups.Abstract
Suppose κ is an arbitrary ordinal. The concept of κ-bijective homomorphism of abelian groups plays an important role in the modern abelian group theory. We study it in the case of totally projective abelian p-groups, provided κ is uncountable, thus extending some classical results in this way.Downloads
Metrics
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2015 Peter V. Danchev
This work is licensed under a Creative Commons Attribution 4.0 International License.
References
P. Danchev and P. Keef, Generalized Wallace theorems, Math. Scand., 104 (2009), 33– 50.
P. Danchev and P. Keef, Nice elongations of primary abelian groups, Publ. Mat., 54 (2010), 317–339.
L. Fuchs, Infinite Abelian Groups, Vol. I and Vol. II, Academic Press, New York and London, 1970 and 1973.
P. Griffith, Infinite Abelian Group Theory, The University of Chicago Press, Chicago and London, 1970.
R. Hunter, F. Richman and E. Walker, Existence theorems for Warfield groups, Trans. Amer. Math. Soc., 235 (1978), 345–362.
I. Kaplansky, Infinite Abelian Groups, University of Michigan Press, Ann Arbor, 1954 and 1969.
P. Keef, Realization theorems for valuated p n-socles, Rend. Sem. Mat. Univ. Padova, 126 (2011), 151–173.
S. Khabbaz, Abelian torsion groups having a minimal system of generators, Trans. Amer. Math. Soc., 98 (1961), 527–538.