Article

The strongly invariant extending property for abelian groups

Published in: Quaestiones Mathematicae
Volume 42 , issue 8 , 2019 , pages: 997–1017

DOI: 10.2989/16073606.2018.1503200

Author(s): Andrey R. Chekhlov Department of Mathematics, Russia , Peter V. Danchev Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Bulgaria

Keywords: 20K10 , 20K20 , 20K21 , 20K10 , 20K20 , 20K21

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Abstract

We define three specific properties of abelian groups calling them strongly invariant extending property, intermediate fully invariant extending property and strongly intermediate fully invariant extending property. Some results concerning these concepts are proved as for the third one a complete necessary and sufficient condition is established. Our achievements somewhat extend results due to Birkenmeier et al. published in Comm. Algebra (2001).

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