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Affine and projective lines over one-dimensional semilocal domains

Author(s): Chandni Shah
Journal: Proc. Amer. Math. Soc. 124 (1996), 697-705.
MSC (1991): Primary 13A17, 13B25, 13E05, 13H99, 13J15
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Abstract: We characterize those partially ordered sets that can occur as the spectra of polynomial rings over one-dimensional semilocal (Noetherian) domains. We also determine the posets that can occur as projective lines over one-dimensional semilocal domains.

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Additional Information:

Chandni Shah
Affiliation: Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113
Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521
Email: cshah@ucrmath.ucr.edu

DOI: 10.1090/S0002-9939-96-03159-0
PII: S 0002-9939(96)03159-0
Keywords: Prime spectrum, Henselian ring, polynomial ring, projective line, discrete valuation domain
Received by editor(s): August 30, 1994
Communicated by: Wolmer V. Vasconcelos
Copyright of article: Copyright 1996, American Mathematical Society

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