Distributive associative near lattices
Dietmar Schweigert (1985)
Mathematica Slovaca
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Dietmar Schweigert (1985)
Mathematica Slovaca
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Richard N. Ball, Aleš Pultr (2004)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Bozić, Milan (1980)
Publications de l'Institut Mathématique. Nouvelle Série
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Gábor Czédli, Ildikó V. Nagy (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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A rotational lattice is a structure where is a lattice and 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.
Ivo Düntsch (1993)
Banach Center Publications
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0. Introduction. Besides being of intrinsic interest, cylindric (semi-) lattices arise naturally from the study of dependencies in relational databases; the polynomials on a cylindric semilattice are closely related to the queries obtainable from project-join mappings on a relational database (cf. [D] for references). This note is intended to initiate the study of these structures, and only a few, rather basic results will be given. Some problems at the end will hopefully stimulate further...
Milan Matoušek (1992)
Commentationes Mathematicae Universitatis Carolinae
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An orthomodular lattice is said to have fully nontrivial commutator if the commutator of any pair is different from zero. In this note we consider the class of all orthomodular lattices with fully nontrivial commutators. We show that this class forms a quasivariety, we describe it in terms of quasiidentities and situate important types of orthomodular lattices (free lattices, Hilbertian lattices, etc.) within this class. We also show that the quasivariety in question is not a variety...