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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A construction of simple principal right ideal domains


Author: P. M. Cohn
Journal: Proc. Amer. Math. Soc. 66 (1977), 217-222
MSC: Primary 16A40; Secondary 16A04
MathSciNet review: 0453805
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Abstract: It is shown how simple principal ideal domains can be obtained from any principal right ideal domain by localization. When no localization is needed one can, under favourable conditions, obtain a simple principal right (but not left) ideal domain, and an easy example is given.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0453805-2
Keywords: Principal ideal domain, simple Noetherian domain, skew polynomial ring, localization, right invariant element, formal Laurent series
Article copyright: © Copyright 1977 American Mathematical Society