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Erratum to : On the coset structure of a skew lattice

Pita Costa J.

Demonstratio Mathematica

2013

Vol. 46, nr 2

245--246

On the coset structure of a skew lattice

Pita-Costa J.

Demonstratio Mathematica

2011

Vol. 44, nr 4

673-692

The class of skew lattices can be seen as an algebraic category. It models an algebraic theory in the category of sets where the Green's relation D is a congruence describing an adjunction to the category of lattices. In this paper we will discuss the relevance of this approach, revisit some known decompositions and relate the order structure of a skew lattice with its coset structure that describes the internal coset decomposition of the respective skew lattice.