A Note on the Modularization of Lattices
Abstract Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes.
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| Format: | Article |
| Language: | English |
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Springer Netherlands
2021
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| Online Access: | https://hdl.handle.net/1721.1/131758 |
| _version_ | 1826209308787867648 |
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| author | Gao, Yibo |
| author_facet | Gao, Yibo |
| author_sort | Gao, Yibo |
| collection | MIT |
| description | Abstract
Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes. |
| first_indexed | 2024-09-23T14:20:49Z |
| format | Article |
| id | mit-1721.1/131758 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:20:49Z |
| publishDate | 2021 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1317582021-09-21T03:21:11Z A Note on the Modularization of Lattices Gao, Yibo Abstract Valuations on finite lattices have been known for a long time. In this paper, we present a combinatorial procedure called modularization that associates a modular lattice to any given finite lattice such that they have the same valuation polytopes. 2021-09-20T17:30:09Z 2021-09-20T17:30:09Z 2019-09-04 2020-09-24T20:35:18Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131758 en https://doi.org/10.1007/s11083-019-09507-1 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Nature B.V. application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Gao, Yibo A Note on the Modularization of Lattices |
| title | A Note on the Modularization of Lattices |
| title_full | A Note on the Modularization of Lattices |
| title_fullStr | A Note on the Modularization of Lattices |
| title_full_unstemmed | A Note on the Modularization of Lattices |
| title_short | A Note on the Modularization of Lattices |
| title_sort | note on the modularization of lattices |
| url | https://hdl.handle.net/1721.1/131758 |
| work_keys_str_mv | AT gaoyibo anoteonthemodularizationoflattices AT gaoyibo noteonthemodularizationoflattices |