Modularity prevents tails
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- by Keith A. Kearnes and Emil W. Kiss PDF
- Proc. Amer. Math. Soc. 127 (1999), 11-19 Request permission
Abstract:
We establish a direct correspondence between two congruence properties for finite algebras. The first property is that minimal sets of type $\mathbf {i}$ have empty tails. The second property is that congruence lattices omit pentagons of type $\mathbf {i}$.References
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Additional Information
- Keith A. Kearnes
- Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292
- MR Author ID: 99640
- Email: kearnes@louisville.edu
- Emil W. Kiss
- Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292; Eötvös University, Department of Algebra and Number Theory, 1088 Budapest, Múzeum krt. 6–8, Hungary
- Email: ewkiss@cs.elte.hu
- Received by editor(s): January 8, 1997
- Additional Notes: This work was supported by the Hungarian National Foundation for Scientific Research, grant no. 16432, and by the Fields Institute (Toronto, Canada).
- Communicated by: Lance W. Small
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 11-19
- MSC (1991): Primary 08A05, 08A30, 08B10
- DOI: https://doi.org/10.1090/S0002-9939-99-04882-0
- MathSciNet review: 1625765