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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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Pasting and modular lattices
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by E. Fried and G. Grätzer PDF
Proc. Amer. Math. Soc. 106 (1989), 885-890 Request permission

Abstract:

A classical lattice construction of R. P. Dilworth is the gluing of two lattices. A number of recent papers by A. Slavík, A. Day, and J. Ježek investigated a generalization: pasting. In this note we prove that by pasting two finite modular lattices, one obtains a modular lattice.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 106 (1989), 885-890
  • MSC: Primary 06C05
  • DOI: https://doi.org/10.1090/S0002-9939-1989-1004631-5
  • MathSciNet review: 1004631