Email this article Decompositions in Complete Lattices II. Replaceable Irredundant Decompositions
- Authors: Schwidefsky M.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Issue: Vol 56, No 3 (2017)
- Pages: 236-244
- Section: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/234038
- DOI: https://doi.org/10.1007/s10469-017-9443-8
- ID: 234038
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Abstract
A characterization of lattices with replaceable irredundant decompositions is given in the following six classes: the class of upper and lower continuous lattices; the class of upper continuous completely join-semidistributive lattices; the class of upper semimodular lower continuous lattices; the class of upper semimodular completely joinsemidistributive lattices; the class of consistent lower continuous lattices; the class of consistent completely join-semidistributive lattices.
About the authors
M. V. Schwidefsky
Sobolev Institute of Mathematics; Novosibirsk State University
Author for correspondence.
Email: semenova@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
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