Hereditarily and Super Generalized co-Bassian Abelian Groups
Group Theory
2025-04-08 v1 Commutative Algebra
Abstract
We completely characterize by finding necessary and sufficient conditions those co-Bassian and generalized co-Bassian Abelian groups having, respectively, the hereditary or the super property, thus giving a new insight in the full discovery of the structure of these two classes of groups as recently defined in Arch. Math. Basel (2024) by the third author.
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Cite
@article{arxiv.2504.04876,
title = {Hereditarily and Super Generalized co-Bassian Abelian Groups},
author = {Peter V. Danchev and Brendan Goldsmith and Patrick W. Keef},
journal= {arXiv preprint arXiv:2504.04876},
year = {2025}
}
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5 pages