Varieties of Lattices

George Grätzer ()
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George Grätzer: University of Manitoba, Department of Mathematics

Chapter Chapter VI in Lattice Theory: Foundation, 2011, pp 409-465 from Springer

Abstract: Abstract In this section, we shall discuss the basic properties of varieties of lattices. Of the four characterizations and descriptions given, three apply to arbitrary varieties of universal algebras; the fourth is valid only for those varieties of universal algebras that are congruence distributive (that is, the congruence lattice of any algebra in the variety is distributive). For the sake of simplicity, all these results are stated and proved only for lattices.

Keywords: Homomorphic Image; Congruence Relation; Modular Lattice; Amalgamation Property; Algebraic Lattice (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-3-0348-0018-1_6

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