Skip to Main Content

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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A ternary function for distributivity and permutability of an equivalence lattice
HTML articles powered by AMS MathViewer

by Ivan Korec
Proc. Amer. Math. Soc. 69 (1978), 8-10
DOI: https://doi.org/10.1090/S0002-9939-1978-0472648-8

Abstract:

The main result of the paper is Theorem 1. Let A be a countable set and L be a complete sublattice of the equivalence lattice on A. The following are equivalent (i) L is a distributive lattice of permutable equivalence relations. (ii) There is an algebra with congruence lattice L among the fundamental operations of which is a ternary function f with the property \begin{equation}\tag {$1$} \quad f(a,b,b) = f(a,b,a) = f(b,b,a) = a\end{equation} for all $a, b \in A$.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 08A25, 06A35
  • Retrieve articles in all journals with MSC: 08A25, 06A35
Bibliographic Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 69 (1978), 8-10
  • MSC: Primary 08A25; Secondary 06A35
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0472648-8
  • MathSciNet review: 0472648