Some applications of the ultrafilter topology on spaces of valuation domains, Part I

Carmelo Antonio Finocchiaro; Marco Fontana

Actes des rencontres du CIRM (2010)

  • Volume: 2, Issue: 2, page 107-109
  • ISSN: 2105-0597

Abstract

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In the present note we introduce the basic definitions and the main results concerning the spaces of valuation domains needed in the subsequent Part II.

How to cite

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Finocchiaro, Carmelo Antonio, and Fontana, Marco. "Some applications of the ultrafilter topology on spaces of valuation domains, Part I." Actes des rencontres du CIRM 2.2 (2010): 107-109. <http://eudml.org/doc/196285>.

@article{Finocchiaro2010,
abstract = {In the present note we introduce the basic definitions and the main results concerning the spaces of valuation domains needed in the subsequent Part II.},
author = {Finocchiaro, Carmelo Antonio, Fontana, Marco},
journal = {Actes des rencontres du CIRM},
keywords = {Valuation domain; (semi)star operation; prime spectrum; Zariski topology; constructible topology; filter and ultrafilter; Prüfer domain},
language = {eng},
number = {2},
pages = {107-109},
publisher = {CIRM},
title = {Some applications of the ultrafilter topology on spaces of valuation domains, Part I},
url = {http://eudml.org/doc/196285},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Finocchiaro, Carmelo Antonio
AU - Fontana, Marco
TI - Some applications of the ultrafilter topology on spaces of valuation domains, Part I
JO - Actes des rencontres du CIRM
PY - 2010
PB - CIRM
VL - 2
IS - 2
SP - 107
EP - 109
AB - In the present note we introduce the basic definitions and the main results concerning the spaces of valuation domains needed in the subsequent Part II.
LA - eng
KW - Valuation domain; (semi)star operation; prime spectrum; Zariski topology; constructible topology; filter and ultrafilter; Prüfer domain
UR - http://eudml.org/doc/196285
ER -

References

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  14. Niels Schwartz and Marcus Tressl, Elementary properties of minimal and maximal points in Zariski spectra, J. Algebra323 (2010), 698–728. Zbl1198.13023MR2574858
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