Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Antichains of monomial ideals are finite
HTML articles powered by AMS MathViewer

by Diane Maclagan
Proc. Amer. Math. Soc. 129 (2001), 1609-1615
DOI: https://doi.org/10.1090/S0002-9939-00-05816-0
Published electronically: October 31, 2000

Abstract:

The main result of this paper is that all antichains are finite in the poset of monomial ideals in a polynomial ring, ordered by inclusion. We present several corollaries of this result, both simpler proofs of results already in the literature and new results. One natural generalization to more abstract posets is shown to be false.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 13P10, 06A06, 52B20
  • Retrieve articles in all journals with MSC (1991): 13P10, 06A06, 52B20
Bibliographic Information
  • Diane Maclagan
  • Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
  • Address at time of publication: School of Mathematics, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540
  • MR Author ID: 607134
  • Email: maclagan@math.berkeley.edu, maclagan@ias.edu
  • Received by editor(s): September 15, 1999
  • Published electronically: October 31, 2000
  • Communicated by: Michael Stillman
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1609-1615
  • MSC (1991): Primary 13P10; Secondary 06A06, 52B20
  • DOI: https://doi.org/10.1090/S0002-9939-00-05816-0
  • MathSciNet review: 1814087