Abstract
Let 𝐺 be an abelian group.
A subgroup of 𝐺 is called an absolute ideal of 𝐺 if it is an ideal in any ring on 𝐺.
In this paper, we describe the principal absolute ideals of groups in the class
Acknowledgements
The authors are grateful to the reviewers for very helpful comments.
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Communicated by: Evgenii I. Khukhro
References
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© 2024 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Finite simple permutation groups acting with fixity 4
- Flag-transitive 2-designs with prime-square or prime-cube block length
- Monster embeddings of certain 3-transposition groups via Majorana representations
- Finite groups with a small proportion of vanishing elements
- On 𝜎-permutable subgroups of 𝜎-soluble finite groups
- Semi-generalized Bassian groups
- Absolute ideals of almost completely decomposable abelian groups
- Orbit-blocking words and the average-case complexity of Whitehead’s problem in the free group of rank 2
- Subgroups of even Artin groups of FC type
- On decidability of the product of subgroups membership problem for nilpotent groups
- On generalized concise words
- Corrigendum to Centralizers of subsystems of fusion systems [J.~Group Theory 18 (2015), 393--405]
Artikel in diesem Heft
- Frontmatter
- Finite simple permutation groups acting with fixity 4
- Flag-transitive 2-designs with prime-square or prime-cube block length
- Monster embeddings of certain 3-transposition groups via Majorana representations
- Finite groups with a small proportion of vanishing elements
- On 𝜎-permutable subgroups of 𝜎-soluble finite groups
- Semi-generalized Bassian groups
- Absolute ideals of almost completely decomposable abelian groups
- Orbit-blocking words and the average-case complexity of Whitehead’s problem in the free group of rank 2
- Subgroups of even Artin groups of FC type
- On decidability of the product of subgroups membership problem for nilpotent groups
- On generalized concise words
- Corrigendum to Centralizers of subsystems of fusion systems [J.~Group Theory 18 (2015), 393--405]