A Note on Additive Groups of Some Specific Associative Rings

Mateusz Woronowicz

doi:10.1515/amsil-2015-0013

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A Note on Additive Groups of Some Specific Associative Rings

Annales Mathematicae Silesianae

Volume 30 (2016): Issue 1 (September 2016)

By: Mateusz Woronowicz

Open Access

|Sep 2016

Abstract

Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.

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Articles in this issue

DOI: https://doi.org/10.1515/amsil-2015-0013 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 219 - 229

Submitted on: Mar 4, 2015

Accepted on: Oct 7, 2015

Published on: Sep 23, 2016

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

ideals,

Related subjects:

© 2016 Mateusz Woronowicz, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 30 (2016): Issue 1 (September 2016)