\(E(R)\)-algebras that are sharply transitive modules.
DOI10.1016/j.jalgebra.2006.12.020zbMath1122.20027OpenAlexW2013330009MaRDI QIDQ877711
Publication date: 3 May 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.12.020
automorphism groupsindecomposable moduleshomotopy theorypure elementslarge \(E\)-ringsmodules over principal ideal domainspure-invertible ringsspecial continuum hypothesistransitive torsion-free Abelian groupsUT-groupsUT-modules
Endomorphism rings; matrix rings (16S50) Principal ideal rings (13F10) Integral domains (13G05) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Other special types of modules and ideals in commutative rings (13C13)
Related Items (4)
Cites Work
- Cardinality and nilpotency of localizations of groups and \(G\)-modules
- Large E-rings exist
- E-transitive torsion-free Abelian groups
- Cellular spaces, null spaces and homotopy localization
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- Large subgroups and small homomorphisms
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- Each countable reduced torsion-free commutative ring is a pure subring of an e-ring
- THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
- CONSTRUCTING SIMPLE GROUPS FOR LOCALIZATIONS
- Large superdecomposable E(R)-algebras
- Prescribing Endomorphism Algebras, a Unified Treatment
- The Existence of LargeE(R)-Algebras That Are Sharply Transitive Modules
- The endomorphism ring of the additive group of a ring
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