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On PIC(D[α]) For a Principal Ideal Domain D

Published online by Cambridge University Press:  20 November 2018

Robert Gilmer  and
William Heinzer
Robert Gilmer
Affiliation:
Department of Mathematics, Florida State University, Tallahassee, Florida 32306-3027
William Heinzer
Affiliation:
Department of Mathematics, Purdue University, W. Lafayette, Indiana 47907
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Abstract

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Let D be a PID with infinitely many maximal ideals. J. W. Brewer has asked whether some simple ring extension D[α] of D must have nontrivial Picard group. We show that this question has a negative answer.

Keywords

13B9913F10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 1 , 01 March 1989 , pp. 114 - 116
Copyright
Copyright © Canadian Mathematical Society 1989

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