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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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When is the free product of lattices complete?
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by George Grätzer and David Kelly PDF
Proc. Amer. Math. Soc. 66 (1977), 6-8 Request permission

Abstract:

Yu. I. Sorkin proved that, up to isomorphism, there are three finite lattices that can be represented as a free product of two lattices. In this note we prove that, up to isomorphism, there are five complete lattices that can be so represented.
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Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 66 (1977), 6-8
  • MSC: Primary 06A23
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0460199-5
  • MathSciNet review: 0460199