On κ-Bijective Homomorphisms of Totally Projective Abelian p-Groups

Jump To References Section

Authors

  • Department of Mathematics, Plovdiv University, Plovdiv 4000 ,BG

Keywords:

Abelian Groups, κ, -Bijections, Totally Projective Groups.
Numerical Analysis

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

Download data is not yet available.

Metrics

Metrics Loading ...

Published

2015-12-01

How to Cite

Danchev, P. V. (2015). On κ-Bijective Homomorphisms of Totally Projective Abelian p-Groups. The Journal of the Indian Mathematical Society, 82(3-4), 13–22. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/1679

 

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.