Affine and projective lines over onedimensional semilocal domains
Author:
Chandni Shah
Journal:
Proc. Amer. Math. Soc. 124 (1996), 697705
MSC (1991):
Primary 13A17, 13B25, 13E05, 13H99, 13J15
MathSciNet review:
1301048
Fulltext PDF Free Access
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Additional Information
Abstract: We characterize those partially ordered sets that can occur as the spectra of polynomial rings over onedimensional semilocal (Noetherian) domains. We also determine the posets that can occur as projective lines over onedimensional semilocal domains.
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 W. Heinzer, D. Lantz, and S. Wiegand, Projective lines over onedimensional semilocal domains and spectra of birational extensions, Proceedings of Conference on Algebraic Geometry and Its Applications, Springer, New York, 1994, pp. (309325). CMP 94:11
 [HW]
 W. Heinzer and S. Wiegand, Prime ideals in twodimensional polynomial rings, Proc. Amer. Math. Soc. 107 (1989), 577586. MR 90b:13010
 [HM]
 R. Heitmann and S. McAdam, Comaximizable primes, Proc. Amer. Math. Soc. 112 (1989), 661669. MR 91j:13005
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 , Uppers in , Comm. Algebra 22 (1994), 13491362. MR 94j:13007
 [MS]
 S. McAdam and C. Shah, Substructures of Spec , J. Algebra (to appear).
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Additional Information
Chandni Shah
Affiliation:
Department of Mathematics, University of Southern California, Los Angeles, California 900891113
Address at time of publication:
Department of Mathematics, University of California, Riverside, California 92521
Email:
cshah@ucrmath.ucr.edu
DOI:
http://dx.doi.org/10.1090/S0002993996031590
PII:
S 00029939(96)031590
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
