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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Pfaffian systems with derived length one. The class of flag systems
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by María A. Cañadas-Pinedo and Ceferino Ruiz PDF
Trans. Amer. Math. Soc. 353 (2001), 1755-1766 Request permission

Abstract:

The incidence relations between a Pfaffian system and the characteristic system of its first derived system lead to obtain a characterization of Pfaffian systems with derived length one. Also, for flag systems, several properties are studied. In particular, an intrinsic proof of a result which determines the class of a system and of all the derived systems is given.
References
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Additional Information
  • María A. Cañadas-Pinedo
  • Affiliation: Departamento Álgebra, Geometría y Topología, Fac. Ciencias, Universidad de Málaga, Campus de Teatinos, Apdo. 59, 29080 - Málaga, Spain
  • Email: pinedo@uma.es
  • Ceferino Ruiz
  • Affiliation: Departamento Geometría y Topología, Universidad de Granada, 18071 - Granada, Spain
  • Email: ruiz@ugr.es
  • Received by editor(s): August 3, 1999
  • Received by editor(s) in revised form: October 1, 1999
  • Published electronically: January 16, 2001
  • Additional Notes: Research partially supported by a DGICYT grant PB94-0796
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 353 (2001), 1755-1766
  • MSC (2000): Primary 58A17, Scondary, 53C10
  • DOI: https://doi.org/10.1090/S0002-9947-01-02638-1
  • MathSciNet review: 1813594