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A Characterization of Modularity forCongruence Lattices of Algebras*

Published online by Cambridge University Press:  20 November 2018

Alan Day
Alan Day*
Affiliation:
McMaster University, Hamilton, Ontario
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Extract

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Let us call an equational class (variety) K of algebras permutable if and only if every pair of congruences on each K-algebra is permutable. Similarly, we will call K modular (distributive) if the congruence lattice of each K-algebra is modular (distributive).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 2 , April 1969 , pp. 167 - 173
Copyright
Copyright © Canadian Mathematical Society 1969

Footnotes

*

This paper is based on a thesis submitted to McMaster University for an M. Sc. degree. The author expresses his gratitude to Professor G. Bruns for his guidance in this research.

References

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3. Gratzer, G., Universal algebra. (D. Van No strand, to appear).Google Scholar
4. Cohn, P.M., Universal algebra. (Harper and Row, New York, 1965).Google Scholar