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Weak normality and seminormality

In: Commutative Algebra

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  • Marie A. Vitulli

    (1222 University of Oregon, Department of Mathematics)

Abstract

In this survey article we outline the history of the twin theories of weak normality and seminormality for commutative rings and algebraic varieties with an emphasis on the recent developments in these theories over the past 15 years. We develop the theories for general commutative rings, but specialize to reduced Noetherian rings when necessary. We hope to acquaint the reader with many of the consequences of the theories.

Suggested Citation

  • Marie A. Vitulli, 2011. "Weak normality and seminormality," Springer Books, in: Marco Fontana & Salah-Eddine Kabbaj & Bruce Olberding & Irena Swanson (ed.), Commutative Algebra, pages 441-480, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4419-6990-3_17
    DOI: 10.1007/978-1-4419-6990-3_17
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