A Note on Distributive Triples

Łazarz, Marcin

dc.contributor.author	Łazarz, Marcin
dc.date.accessioned	2021-05-05T15:50:39Z
dc.date.available	2021-05-05T15:50:39Z
dc.date.issued	2019-10-30
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/35362
dc.description.abstract	Even if a lattice L is not distributive, it is still possible that for particular elements x, y, z ∈ L it holds (x∨y) ∧z = (x∧z) ∨ (y ∧z). If this is the case, we say that the triple (x, y, z) is distributive. In this note we provide some sufficient conditions for the distributivity of a given triple.	en
dc.language.iso	en
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl
dc.relation.ispartofseries	Bulletin of the Section of Logic;3	en
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	Distributive triple	en
dc.subject	dually distributive triple	en
dc.subject	covering diamond	en
dc.title	A Note on Distributive Triples	en
dc.type	Other
dc.page.number	207-211
dc.contributor.authorAffiliation	University of Wrocław, Poland, Department of Logic and Methodology of Sciences	en
dc.identifier.eissn	2449-836X
dc.references	G. Birkhoff, Lattice Theory, American Mathematical Society Colloquium Publications, Vol. XXV, Providence, Rhode Island (1973).	en
dc.references	E. Fried, G. Grätzer, H. Lakser, Projective geometries as cover-preserving sublattices, Algebra Universalis, Vol. 27 (1990), pp. 270–278.	en
dc.references	G. Grätzer, General lattice theory, Birkhäuser, Basel, Stuttgart (1978).	en
dc.references	G. Grätzer, Lattice Theory: Foundation, Birkhäuser, Basel (2011).	en
dc.references	C. Herrmann, A. P. Huhn, Lattices of normal subgroups which are generated by frames, [in:] Proceedings of the Lattice Theory Colloquium, Szeged 1974, Colloq. Math. Soc. János Bolyai, 14, pp. 97–136, North-Holland, Amsterdam (1976).	en
dc.references	B. Jónsson, Equational Classes of Lattices, Mathematica Scandinavica, Vol. 22 (1968), pp. 187–196.	en
dc.references	M. Stern, Semimodular Lattices. Theory and Applications, Cambridge University Press (1999).	en
dc.contributor.authorEmail	lazarzmarcin@poczta.onet.pl
dc.identifier.doi	10.18778/0138-0680.48.3.04
dc.relation.volume	48

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