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arXiv · 1302.3519

On the coset structure of a skew lattice

Joao Pita Costa
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Abstract

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 algebra.

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Joao Pita Costa. 2012-12-28. On the coset structure of a skew lattice. https://arxiv.org/abs/1302.3519

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