{"id":"https://openalex.org/W1992656152","doi":"https://doi.org/10.1007/bf02579406","title":"A size-width inequality for distributive lattices","display_name":"A size-width inequality for distributive lattices","publication_year":1986,"publication_date":"1986-03-01","ids":{"openalex":"https://openalex.org/W1992656152","doi":"https://doi.org/10.1007/bf02579406","mag":"1992656152"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579406","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579406","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015850195","display_name":"Ulrich Faigle","orcid":"https://orcid.org/0000-0002-4477-5479"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"U. Faigle","raw_affiliation_strings":["Institut f\u00fcr \u00d6konometrie und Op. Research, Rheinische Friedrich-Wilhelms-Universit\u00e4t, 5300, Bonn 1, Germany","Institut f\u00fcr \u00d6konometrie und Op. Research, Rheinische Friedrich-Wilhelms-Universit\u00e4t, Bonn 1, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr \u00d6konometrie und Op. Research, Rheinische Friedrich-Wilhelms-Universit\u00e4t, 5300, Bonn 1, Germany","institution_ids":[]},{"raw_affiliation_string":"Institut f\u00fcr \u00d6konometrie und Op. Research, Rheinische Friedrich-Wilhelms-Universit\u00e4t, Bonn 1, Germany","institution_ids":["https://openalex.org/I135140700"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055969467","display_name":"Bill Sands","orcid":null},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"B. Sands","raw_affiliation_strings":["Department of Mathematics, University of Calgary, T2N 1N4, Calgary, Alberta, Canada","Department of mathematics, University of calgary, Calgary, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Calgary, T2N 1N4, Calgary, Alberta, Canada","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of mathematics, University of calgary, Calgary, Canada","institution_ids":["https://openalex.org/I168635309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015850195"],"corresponding_institution_ids":["https://openalex.org/I135140700"],"apc_list":null,"apc_paid":null,"fwci":0.4946,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60245065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"1","first_page":"29","last_page":"33"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9416999816894531,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9416999816894531,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9193999767303467,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/antichain","display_name":"Antichain","score":0.9372121691703796},{"id":"https://openalex.org/keywords/distributive-lattice","display_name":"Distributive lattice","score":0.8624802827835083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8347189426422119},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.7983801364898682},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6832038164138794},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.538921594619751},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5257763862609863},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43522605299949646},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.2681201994419098},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20896828174591064},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04651886224746704}],"concepts":[{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.9372121691703796},{"id":"https://openalex.org/C192606457","wikidata":"https://www.wikidata.org/wiki/Q2363730","display_name":"Distributive lattice","level":3,"score":0.8624802827835083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8347189426422119},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.7983801364898682},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6832038164138794},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.538921594619751},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5257763862609863},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43522605299949646},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.2681201994419098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20896828174591064},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04651886224746704},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02579406","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579406","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:hdl:10068/181888","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/181888","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4232534867","https://openalex.org/W2037861231","https://openalex.org/W2307047024","https://openalex.org/W2122961867","https://openalex.org/W2963428356","https://openalex.org/W1975062576","https://openalex.org/W871156903","https://openalex.org/W1804250731","https://openalex.org/W2126448176","https://openalex.org/W2349761759"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}