EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 97(111), pp. 103–112 (2015)

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ON ALMOST $\omega_1$-$n$-SIMPLY PRESENTED ABELIAN $p$-GROUPS

Peter V. Danchev

Department of Mathematics, Plovdiv State University, Plovdiv, Bulgaria

Abstract: We define and investigate the class of almost $\omega_1$-$n$-simply presented $p$-torsion abelian groups, which class properly contains the subclasses of almost $n$-simply presented groups and $\omega_1$-$n$-simply presented groups, respectively. The obtained results generalize those obtained by us in Korean J. Math. (2014) and J. Algebra Appl. (2015).

Keywords: Abelian groups; almost $n$-simply presented groups; almost $\omega_1$-$n$-simply presented groups

Classification (MSC2000): 20K10; 20K15

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Electronic fulltext finalized on: 16 Apr 2015. This page was last modified: 21 Apr 2015.

© 2015 Mathematical Institute of the Serbian Academy of Science and Arts
© 2015 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition