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Free Products

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General Lattice Theory

Abstract

The formation of a free product of a family of lattices is one of the most fundamental constructions of lattice theory. This specializes to the construction of free lattices, which form a class of lattices that is probably the closest rival of the class of distributive lattices in the richness of its structure. Also, free products provide a very useful tool for the construction of pathological lattices.

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© 1978 Springer Basel AG

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Grätzer, G. (1978). Free Products. In: General Lattice Theory. Mathematische Reihe Lehrbücher und Monographien aus dem Gebiete der Exakten Wissenschaften, vol 52. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7633-9_6

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  • DOI: https://doi.org/10.1007/978-3-0348-7633-9_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7635-3

  • Online ISBN: 978-3-0348-7633-9

  • eBook Packages: Springer Book Archive

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