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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 the relationship of AP, RS and CEP in congruence modular varieties. II
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by Clifford Bergman and Ralph McKenzie PDF
Proc. Amer. Math. Soc. 103 (1988), 335-343 Request permission

Abstract:

Let $V$ be a congruence distributive variety, or a congruence modular variety whose free algebra on 2 generators is finite. If $V$ is residually small and has the amalgamation property, then it has the congruence extension property. Several applications are presented.
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Additional Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 335-343
  • MSC: Primary 08B10; Secondary 03C25, 08B25, 20E06
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0943041-2
  • MathSciNet review: 943041