Geodesic
Varieties of Distributive Rotational Lattices
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 1, pp. 71-78

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A rotational lattice is a structure $\langle L;\vee ,\wedge , g\rangle $ where $L=\langle L;\vee ,\wedge \rangle $ is a lattice and $g$ is a lattice automorphism of finite order. We describe the subdirectly irreducible distributive rotational lattices. Using Jónsson’s lemma, this leads to a description of all varieties of distributive rotational lattices.
Classification : 06B20, 06B75, 06D99
Keywords: rotational lattice; lattice with automorphism; lattice with involution; distributivity; lattice variety 
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Czédli, Gábor; Nagy, Ildikó V. Varieties of Distributive Rotational Lattices. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 52 (2013) no. 1, pp. 71-78. http://geodesic.mathdoc.fr/item/AUPO_2013__52_1_a5/