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 |
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Pages (from-to) | 2843-2847 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 137 |
Issue number | 9 |
DOIs | |
State | Published - Sep 2009 |