Abstract
J. Harding has proved that the profinite limit of an algebra A in a finitely generated variety of monotone lattice expansions coincides with its canonical extension. In this note we drop the monotonicity of the additional operations and prove the same result.
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References
Gehrke M., Harding J.: Bounded lattice expansions. J. Algebra 238, 345–371 (2001)
Harding J.: On profinite completions and canonical extensions. Algebra Universalis 55, 293–296 (2006)
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Presented by K. Kearnes.
The author acknowledges support from Project ISFL-1-143 of CAUL financed by FCT and FEDER.
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Gouveia, M.J. A note on profinite completions and canonical extensions. Algebra Univers. 64, 21–23 (2010). https://doi.org/10.1007/s00012-010-0083-2
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DOI: https://doi.org/10.1007/s00012-010-0083-2