### An upper cardinal bound on absolute E-rings

by Herden and Shelah. [HeSh:930]

Proc American Math Soc, 2009

We show that for every abelian group A of
cardinality >= kappa (omega) there exists a generic extension of
the universe, where A is countable with 2^{aleph_O}
injective endomorphisms. As an immediate consequence of this
result there are no absolute E-rings of cardinality >=
kappa (omega) . This paper does not require any specific
prior knowledge of forcing or model theory and can be
considered accessible also for graduate students.

Back to the list of publications