Abstract
The aim of the paper is a characterization of the lattice of all weak subgroupoids of a partial groupoid. It also extends to arbitrary finite algebras Pióro’s result saying that the weak subgroupoid lattice of a finite commutative groupoid G in which g·h ≠ g (for all g, h ∈ G) uniquely determines its subgroupoid lattice.
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Communicated by Miroslav Ploščica
Dedicated to the 90th birthday of Professor Ján Jakubík
The second author acknowledges support from Slovak grants APVV-0223-10 and VEGA 1/0212/13.
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Haviar, A., Haviar, M. Weak subgroupoid lattices. Math. Slovaca 64, 665–674 (2014). https://doi.org/10.2478/s12175-014-0232-8
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DOI: https://doi.org/10.2478/s12175-014-0232-8