References
J. W. Brewer andD. L. Costa, Seminormality and projective modules over polynomial rings. J. Algebra58, 208–216 (1979).
G. Campanella, Alcuni risultati sugli ideali massimali di anneli di polinomi. Ann. Univ. Ferrara26, 103–112 (1980).
D. E. Dobbs, R. Fedder andM. Fontana,G-domains and spectral spaces. J. Pure Appl. Algebra51, 89–110 (1988).
R.Gilmer, Multiplicative Ideal Theory. New York-Basel 1972.
P. Hill, On the complete integral closure of a domain. Proc. Amer. Math. Soc.36, 26–30 (1972).
I.Kaplansky, Commutative Rings, rev. ed., Chicago 1974.
D. Lantz, Finite Krull dimension, complete integral closure andGCD-domains. Comm. Algebra3, 951–958 (1975).
M.Roitman, On the complete integral closure of a Mori domain. J. Pure Appl. Algebra, to appear.
S. Singh. Note on a paper of P. M. Cohn. Math. Proc. Cambridge Philos. Soc. (2)78, 211–213 (1975).
S. Singh andP. Manchanda, On complete integral closure ofG-domain. Indian J. Pure Appl. Math.20, 884–886 (1989).
R. G. Swan, On seminormality. J. Algebra67, 210–229 (1980).
Author information
Authors and Affiliations
Additional information
Supported in part by a University of Tennessee Faculty Development Grant.
According to a consequence of [4, Theorem 13.1], Corollary 3 may be strengthened to asserting that R* is integrally closed thus giving another approach, in conjunction with [3, Corollary 2.12], to Corollary 4.
Rights and permissions
About this article
Cite this article
Dobbs, D.E. Seminormality of complete integral closures. Arch. Math 59, 417–419 (1992). https://doi.org/10.1007/BF01236035
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01236035