On the coset structure of a skew lattice

• Autorzy: Pita-Costa J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

noncommutative lattice; skew lattice; band of semigroups; Green's relations; coset structure; regularity; symmetry; categoricity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 4
• Strony: 673--692
• Opis fizyczny: Bibliogr. 28 poz., rys.

Twórcy

autor

Pita-Costa J.

• University of Ljubljana Faculty of Mathematics and Physics Jadranska 19 1000 Ljubljana, Slovenia.

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