Separating ideals in dimension 2.

@article{Madden1997,
abstract = {Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.},
author = {Madden, James J., Schwartz, Niels},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Ideales; Teoría de anillos; Espacio bidimensional; Espacios algebraicos; Separación; separating ideals; real spectrum; germs of half branches of curves; degree of tangency},
language = {eng},
number = {Supl.},
pages = {217-240},
title = {Separating ideals in dimension 2.},
url = {http://eudml.org/doc/44261},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Madden, James J.
AU - Schwartz, Niels
TI - Separating ideals in dimension 2.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - Supl.
SP - 217
EP - 240
AB - Experience shows that in geometric situations the separating ideal associated with two orderings of a ring measures the degree of tangency of the corresponding ultrafilters of semialgebraic sets. A related notion of separating ideals is introduced for pairs of valuations of a ring. The comparison of both types of separating ideals helps to understand how a point on a surface is approached by different half-branches of curves.
LA - eng
KW - Ideales; Teoría de anillos; Espacio bidimensional; Espacios algebraicos; Separación; separating ideals; real spectrum; germs of half branches of curves; degree of tangency
UR - http://eudml.org/doc/44261
ER -