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REFLEXIVITY AND CONNECTEDNESS

Published online by Cambridge University Press:  22 December 2014

SEAN SATHER-WAGSTAFF
SEAN SATHER-WAGSTAFF*
Affiliation:
North Dakota State University, Department of Mathematics # 2750, P.O. Box 6050, Fargo, ND 58108-6050, USA e-mail: sean.sather-wagstaff@ndsu.edu
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Abstract

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Given a finitely generated module over a commutative noetherian ring that satisfies certain reflexivity conditions, we show how failure of the semidualizing property for the module manifests in a disconnection of the prime spectrum of the ring.

Keywords

13D0213D0713D0913G05
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 1 , January 2015 , pp. 231 - 240
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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