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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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On infinite disjoint covering systems
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by Aviezri S. Fraenkel and R. Jamie Simpson PDF
Proc. Amer. Math. Soc. 119 (1993), 5-9 Request permission

Abstract:

The structure of all infinite incongruent disjoint covering systems (IIDCS) whose moduli are divisible by no prime $> 3$ is given. It is then shown that this structure characterizes the subset of IIDCS for which the greatest common factor of all the moduli is $1$, and the set of primes dividing the moduli is finite.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 119 (1993), 5-9
  • MSC: Primary 11B25
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1148023-8
  • MathSciNet review: 1148023