[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2013.21.4.401

ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS

Danchev, Peter V. (Department of Mathematics, Plovdiv University)

Publication Information

Korean Journal of Mathematics / v.21, no.4, 2013 , pp. 401-419 More about this Journal

Abstract

Let $n{\geq}0$ 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 ${\omega}_1-p^{{\omega}+n}$ -projective groups developed by the same author in an upcoming publication [3]. Some comprehensive characterizations of the new concept are established such as Nunke-esque results as well as results on direct summands and ${\omega}_1$ -bijections.

Keywords

abelian p-primary groups; almost ${\Sigma}$ -cyclic groups; almost $p^{{\omega}+n}$ -projective groups; almost n-simply presented groups;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

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