An upper cardinal bound on absolute E-rings

Daniel Herden*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We show that for every abelian group A of cardinality = >(w) there exists a generic extension of the universe, where A is countable with 2.0 injective endomorphisms. As an immediate consequence of this result there are no absolute E-rings of cardinality ≥ k(w). This paper does not require any specific prior knowledge of forcing or model theory and can be considered accessible also for graduate students.

Original languageEnglish
Pages (from-to)2843-2847
Number of pages5
JournalProceedings of the American Mathematical Society
Volume137
Issue number9
DOIs
StatePublished - Sep 2009

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