caa a22 4500 445345233 CHVBK 20180317142826.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00233-011-9325-7 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9325-7 On the coset laws for skew lattices [Elektronische Daten] [Karin Cvetko-Vah, João Costa] 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 ${\mathcal{D}}$ -classes and indices are derived. Springer Science+Business Media, LLC, 2011 Noncommutative lattice nationallicence Skew lattice nationallicence Symmetry nationallicence Strong symmetry nationallicence Cancellation nationallicence Coset nationallicence Index nationallicence Cvetko-Vah Karin Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia aut Costa João Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia aut Semigroup Forum Springer-Verlag 83/3(2011-12-01), 395-411 0037-1912 83:3<395 2011 83 233 https://doi.org/10.1007/s00233-011-9325-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9325-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Cvetko-Vah Karin Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia aut NATIONALLICENCE 700 1- Costa João Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/3(2011-12-01), 395-411 0037-1912 83:3<395 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer