An upper cardinal bound on absolute E-rings

Daniel Herden; Saharon Shelah

doi:10.1090/S0002-9939-09-09842-6

An upper cardinal bound on absolute E-rings

Daniel Herden^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2843-2847
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	137
Issue number	9
DOIs	https://doi.org/10.1090/S0002-9939-09-09842-6
State	Published - Sep 2009

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An upper cardinal bound on absolute E-rings

Abstract

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