On the existence of rigid aleph_1-free abelian groups of cardinality aleph_1

Details On the existence of rigid aleph_1-free abelian groups of cardinality aleph_1 On the existence of rigid aleph_1-free abelian groups of cardinality aleph_1

2001-04-19

arxiv.org/abs/math/0104194v1

Abelian Groups and Modules. Proceedings of the Padova Conference, Padova, Italy, 1994. Editors: A. Facchini and C. Menini. Klu

Mathematics

Logic

Scientific paper

An abelian group is said to be aleph_1-free if all its countable subgroups are free. Our main result is: If R is a ring with R^+ free and |R|

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