Localizing Systems and Semistar Operations

  • Marco Fontana
  • James A. Huckaba
Part of the Mathematics and Its Applications book series (MAIA, volume 520)


In 1994 A. Okabe and R. Matsuda [22] introduced the notion of semistar operation; see also, [21] and [20]. This concept extends the classical concept of star operation, as developed in Gilmer’s book [12], and hence the related classical theory of ideal systems based on the works of W. Krull, E. Noether, H. Prüfer, and P. Lorenzen from the 1930’s. For a systematic treatment of these ideas, see the books by P. Jaffard [17] and F. Halter-Koch [14], where a complete and updated bibliography is available.


Prime Ideal Integral Domain Finite Type Integral Ideal Valuation Domain 
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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Marco Fontana
    • 1
  • James A. Huckaba
    • 2
  1. 1.Dipartimento di MatematicaUniversità degli Studi Roma TreRomeItaly
  2. 2.Department of MathematicsUniversity of Missouri-ColumbiaColumbiaUSA

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