On the lengths of bad sequences of monomial ideals over polynomial rings

Florian Pelupessy; Andreas Weiermann

Fundamenta Mathematicae (2012)

  • Volume: 216, Issue: 2, page 101-108
  • ISSN: 0016-2736

Abstract

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We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.

How to cite

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Florian Pelupessy, and Andreas Weiermann. "On the lengths of bad sequences of monomial ideals over polynomial rings." Fundamenta Mathematicae 216.2 (2012): 101-108. <http://eudml.org/doc/282967>.

@article{FlorianPelupessy2012,
abstract = {We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.},
author = {Florian Pelupessy, Andreas Weiermann},
journal = {Fundamenta Mathematicae},
keywords = {Maclagan; monomial ideals; Hilbert basis theorem; fast growing hierarchy},
language = {eng},
number = {2},
pages = {101-108},
title = {On the lengths of bad sequences of monomial ideals over polynomial rings},
url = {http://eudml.org/doc/282967},
volume = {216},
year = {2012},
}

TY - JOUR
AU - Florian Pelupessy
AU - Andreas Weiermann
TI - On the lengths of bad sequences of monomial ideals over polynomial rings
JO - Fundamenta Mathematicae
PY - 2012
VL - 216
IS - 2
SP - 101
EP - 108
AB - We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.
LA - eng
KW - Maclagan; monomial ideals; Hilbert basis theorem; fast growing hierarchy
UR - http://eudml.org/doc/282967
ER -

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