ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS

Peter V. Danchev
2013 Korean Journal of Mathematics  
Let n ≥ 0 be an arbitrary integer. We define the class of almost n-simply presented abelian p-groups. It naturally strengthens all the notions of almost simply presented groups introduced by Hill and Ullery in Czechoslovak Math. J. (1996), n-simply presented p-groups defined by the present author and Keef in Houston J. Math. (2012), and almost ω 1 -p ω+n -projective groups developed by the same author in an upcoming publication [3] . Some comprehensive characterizations of the new concept are
more » ... e new concept are established such as Nunke-esque results as well as results on direct summands and ω 1 -bijections.
doi:10.11568/kjm.2013.21.4.401 fatcat:ysozn4xczbcdrjtsrbc7zaashq