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Recent Progress on Going-Down I

  • David E. Dobbs
Part of the Mathematics and Its Applications book series (MAIA, volume 520)

Abstract

The years 1970–77 witnessed considerable research activity in connection with the “going-down” concept. To chronicle that activity and the sub­ject’s earlier history, Ira Papick and I wrote a survey [78] which appeared in 1978. Since then, work in this area has continued unabated, and I propose to survey most of the post-1977 work concerning “going-down.” Because of limitations of space, our focus here is almost exclusively on papers of which I was either the author or a coauthor. In doing so, I take this opportunity to thank my 24 coauthors whose work is referenced here, while begging the indulgence of the few authors whose post-1977 work on “going-down” goes unmentioned here.

Keywords

Prime Ideal Integral Domain Zariski Topology Ring Extension Valuation Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • David E. Dobbs
    • 1
  1. 1.Department of MathematicsThe University of TennesseeKnoxvilleUSA

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