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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An uncountable Noetherian ring with free additive group


Author: John D. O’Neill
Journal: Proc. Amer. Math. Soc. 66 (1977), 205-207
MSC: Primary 20K20; Secondary 13E05
MathSciNet review: 0450426
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Abstract: An example is given of an uncountable Noetherian ring whose additive group is free. This answers a question posed indirectly by L. Fuchs.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0450426-2
PII: S 0002-9939(1977)0450426-2
Keywords: Free group, torsion-free group, pure independent set
Article copyright: © Copyright 1977 American Mathematical Society