{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:43:15Z","timestamp":1740123795113,"version":"3.37.3"},"reference-count":9,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T00:00:00Z","timestamp":1567555200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T00:00:00Z","timestamp":1567555200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Order"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1007\/s11083-019-09507-1","type":"journal-article","created":{"date-parts":[[2019,9,4]],"date-time":"2019-09-04T11:04:18Z","timestamp":1567595058000},"page":"311-318","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Note on the Modularization of Lattices"],"prefix":"10.1007","volume":"37","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3060-2259","authenticated-orcid":false,"given":"Yibo","family":"Gao","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,9,4]]},"reference":[{"key":"9507_CR1","volume-title":"Lattice Theory, vol. 25","author":"G Birkhoff","year":"1967","unstructured":"Birkhoff, G.: Lattice Theory, vol. 25. American Mathematical Soc., Providence (1967)"},{"issue":"4","key":"9507_CR2","doi-asserted-by":"publisher","first-page":"2378","DOI":"10.1137\/16M1091800","volume":"31","author":"T Chappell","year":"2017","unstructured":"Chappell, T., Friedl, T., Sanyal, R.: Two double poset polytopes. SIAM J. Discret. Math. 31(4), 2378\u20132413 (2017)","journal-title":"SIAM J. Discret. Math."},{"issue":"2","key":"9507_CR3","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/BF00334856","volume":"2","author":"H Dobbertin","year":"1985","unstructured":"Dobbertin, H.: About polytopes of valuations on finite distributive lattices. Order 2(2), 193\u2013198 (1985)","journal-title":"Order"},{"key":"9507_CR4","unstructured":"Geissinger, L.: The face structure of a poset polytope. In: Proceedings of the Third Caribbean Conference on Combinatorics and Computing, vol. 59. Univ. West Indies, Barbados (1981)"},{"key":"9507_CR5","unstructured":"Gr\u00e4tzer, G.: General Lattice Theory. Springer Science & Business Media (2002)"},{"issue":"3","key":"9507_CR6","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1016\/S0022-4049(98)00145-5","volume":"147","author":"G Gr\u00e4tzer","year":"2000","unstructured":"Gr\u00e4tzer, G., Wehrung, F.: Tensor products of semilattices with zero, revisited. J. Pure Appl. Algebra 147(3), 273\u2013301 (2000)","journal-title":"J. Pure Appl. Algebra"},{"key":"9507_CR7","unstructured":"Liu, F.: On positivity of Ehrhart polynomials. arXiv:\n1711.09962\n\n (2017)"},{"issue":"1","key":"9507_CR8","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/BF02187680","volume":"1","author":"R Stanley","year":"1986","unstructured":"Stanley, R: Two poset polytopes. Discret. Comput. Geom. 1(1), 9\u201323 (1986)","journal-title":"Discret. Comput. Geom."},{"key":"9507_CR9","volume-title":"Enumerative Combinatorics, vol. 1","author":"R Stanley","year":"2012","unstructured":"Stanley, R.: Enumerative Combinatorics, vol. 1. Cambridge University Press, Cambridge (2012)"}],"container-title":["Order"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-019-09507-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11083-019-09507-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11083-019-09507-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T23:08:49Z","timestamp":1599088129000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11083-019-09507-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,4]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["9507"],"URL":"https:\/\/doi.org\/10.1007\/s11083-019-09507-1","relation":{},"ISSN":["0167-8094","1572-9273"],"issn-type":[{"type":"print","value":"0167-8094"},{"type":"electronic","value":"1572-9273"}],"subject":[],"published":{"date-parts":[[2019,9,4]]},"assertion":[{"value":"13 February 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 August 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 September 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}