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Strong, Balanced, and Consistent Lattices

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Part of the Teubner-Texte zur Mathematik book series (TTZM, volume 125)

Abstract

FAIGLE [1980 b] introduced the notion of a strong join-irreducible in lattices of finite length (s. Definition 16.2 below). Using the concepts a′ and a+ (s. Section 10) we present two extensions of Faigle’s concept of a strong join-irreducible, namely the notion of a strong element and the notion of a strict element. Both notions will turn out to be useful for our subsequent considerations.

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Copyright information

© Springer Fachmedien Wiesbaden 1991

Authors and Affiliations

  1. 1.HalleGermany

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