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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The regular element property
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by Fred Richman PDF
Proc. Amer. Math. Soc. 126 (1998), 2123-2129 Request permission

Abstract:

The property that an ideal whose annihilator is zero contains a regular element is examined from the point of view of constructive mathematics. It is shown that this property holds for finitely presented algebras over discrete fields, and for coherent, Noetherian, strongly discrete rings that contain an infinite field.
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Additional Information
  • Fred Richman
  • Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431-0991
  • Email: richman@acc.fau.edu
  • Received by editor(s): August 21, 1996
  • Received by editor(s) in revised form: December 17, 1996
  • Communicated by: Wolmer V. Vasconcelos
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2123-2129
  • MSC (1991): Primary 03F65, 13E05; Secondary 13P99, 13C15
  • DOI: https://doi.org/10.1090/S0002-9939-98-04257-9
  • MathSciNet review: 1443853