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On the coset laws for skew lattices
Authors:Karin Cvetko-Vah  João Pita Costa
Institution:1.Faculty of Mathematics and Physics,University of Ljubljana,Ljubljana,Slovenia
Abstract:Skew lattices are a noncommutative generalization of lattices. In the paper we study the varieties of symmetric, strongly symmetric and cancellative skew lattices, and characterize them in terms of certain laws regarding the coset structure of a skew lattice. As a consequence, combinatorial results connecting powers of D{\mathcal{D}}-classes and indices are derived.
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