Original Paper

Polygones

  1. Virginie Mazoyer*

Article first published online: 3 FEB 2004

DOI: 10.1002/malq.200310085

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 50, Issue 2, pages 152–168, March 2004

Additional Information

How to Cite

Mazoyer, V. (2004), Polygones. Mathematical Logic Quarterly, 50: 152–168. doi: 10.1002/malq.200310085

Author Information

  1. Institut Gérard Desargues, Université Claude Bernard (Lyon-1), Mathématiques, bâtiment 101, 69622 Villeurbanne Cedex, France

*Phone: +33 4 72 43 13 74, Fax: +33 4 72 43 00 35

Publication History

  1. Issue published online: 3 FEB 2004
  2. Article first published online: 3 FEB 2004
  3. Manuscript Accepted: 10 NOV 2003
  4. Manuscript Revised: 5 NOV 2003
  5. Manuscript Received: 15 MAR 2003

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Keywords:

  • Monoid;
  • polygon;
  • ω-stable theory

Abstract

In first, we recall some properties of polygons under the action of an irregular monoid which may be written M = G ∪ I, where G is a group and I the only one ideal. Then, we completely describe monoids when G has only one orbit on I. We also describe all possible polygons and types of their elements. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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