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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© 1991 Springer Fachmedien Wiesbaden
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Stern, M. (1991). Strong, Balanced, and Consistent Lattices. In: Semimodular Lattices. Teubner-Texte zur Mathematik, vol 125. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-12478-8_2
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DOI: https://doi.org/10.1007/978-3-663-12478-8_2
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-663-12479-5
Online ISBN: 978-3-663-12478-8
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