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arxiv: 1005.5155 · v1 · submitted 2010-05-27 · 🧮 math.MG

Irreducible Elements in Metric Lattices

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We describe a natural generalization of irreducibility in order lattices with arbitrary metrics. We analyse the special cases of valuation metrics and more general metrics for lattices. This article is mainly based on a part of the author's doctoral thesis, but answers some additional questions.

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