Abstract
Let A and B be commutative algebras containing the rationals, with A contained in B,and B subintegral over A. In an earlier paper the authors showed that if A is excellent of finite Krull dimension then there is a natural isomorphism from B/A to the group of invertible A-submodules of B. In the present paper we remove the requirement that A be excellent of finite Krull dimension.
This work was supported by the NSERC grant of the second author. It was done while the first and the third authors were visiting Queen’s University, whose hospitality is gratefully acknowledged.
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References
Leslie G. Roberts and Balwant Singh, Subintegrality, invertible modules and the Picard group, to appear in Compositio Mathematica.
R. G. Swan, On seminormality, J. Algebra 67 (1980) 210 - 229.
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© 1993 Springer Science+Business Media Dordrecht
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Reid, L., Roberts, L.G., Singh, B. (1993). Finiteness of Subintegrality. In: Goerss, P.G., Jardine, J.F. (eds) Algebraic K-Theory and Algebraic Topology. NATO ASI Series, vol 407. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0695-7_11
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DOI: https://doi.org/10.1007/978-94-017-0695-7_11
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4302-3
Online ISBN: 978-94-017-0695-7
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