Abstract
The main result in the paper mentioned above, that every lattice of length at most 4 and representable by commuting equivalence relations, is also representable by subgroups of an Abelian group, can be easily derived from known results due to B. Jónsson. Moreover, we correct some misleading statements.
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References
Călugăreanu G., Conţiu C.: Type 1 representable lattices of dimension at most 4. Algebra Universalis 67, 131–139 (2012)
Jónsson B.: Arguesian lattices of dimension n ≤ 4. Math. Scand. 7, 131–145 (1959)
Herrmann C.: A review of some of Bjarni Jónsson’s results on representation of Arguesian lattices. Algebra Universalis 70, 163–174 (2013)
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The online version of the original article can be found under doi:10.1007/s00012-012-0174-3.
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Călugăreanu, G., Conţiu, C. Erratum to “On type 1 representable lattices of dimension at most 4”. Algebra Univers. 71, 69–70 (2014). https://doi.org/10.1007/s00012-013-0263-y
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DOI: https://doi.org/10.1007/s00012-013-0263-y