Affine and projective lines

over one-dimensional semilocal domains

Author:
Chandni Shah

Journal:
Proc. Amer. Math. Soc. **124** (1996), 697-705

MSC (1991):
Primary 13A17, 13B25, 13E05, 13H99, 13J15

DOI:
https://doi.org/10.1090/S0002-9939-96-03159-0

MathSciNet review:
1301048

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-96-03159-0

Keywords:
Prime spectrum,
Henselian ring,
polynomial ring,
projective line,
discrete valuation domain

Received by editor(s):
August 30, 1994

Communicated by:
Wolmer V. Vasconcelos

Article copyright:
© Copyright 1996
American Mathematical Society