{"id":"https://openalex.org/W2053518096","doi":"https://doi.org/10.1007/s11083-012-9276-y","title":"Bounds on the k-dimension of Products of Special Posets","display_name":"Bounds on the k-dimension of Products of Special Posets","publication_year":2012,"publication_date":"2012-11-21","ids":{"openalex":"https://openalex.org/W2053518096","doi":"https://doi.org/10.1007/s11083-012-9276-y","mag":"2053518096"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-012-9276-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-012-9276-y","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/85844","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033745061","display_name":"Michael Baym","orcid":"https://orcid.org/0000-0003-1303-5598"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]},{"id":"https://openalex.org/I4210155419","display_name":"Center for Systems Biology","ror":"https://ror.org/05r3dyn47","country_code":"US","type":"facility","lineage":["https://openalex.org/I136199984","https://openalex.org/I4210087915","https://openalex.org/I4210155419","https://openalex.org/I48633490"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Baym","raw_affiliation_strings":["Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA, USA","Systems Biology Department, Harvard Medical School, Cambridge, MA, USA","Massachusetts Institute of Technology","Harvard Medical School"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Systems Biology Department, Harvard Medical School, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210155419","https://openalex.org/I136199984"]},{"raw_affiliation_string":"Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Harvard Medical School","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017595199","display_name":"Douglas B. West","orcid":"https://orcid.org/0000-0001-8818-1667"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I2801919071","display_name":"University of Illinois System","ror":"https://ror.org/05e94g991","country_code":"US","type":"education","lineage":["https://openalex.org/I2801919071"]}],"countries":["CN","US"],"is_corresponding":true,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["Mathematics Department, University of Illinois, Urbana, IL, 61801, USA","Mathematics Department, Zhejiang Normal University, Jinhua, China","University of Illinois","Zhejiang Normal University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Illinois, Urbana, IL, 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Mathematics Department, Zhejiang Normal University, Jinhua, China","institution_ids":["https://openalex.org/I135237710"]},{"raw_affiliation_string":"University of Illinois","institution_ids":["https://openalex.org/I2801919071"]},{"raw_affiliation_string":"Zhejiang Normal University","institution_ids":["https://openalex.org/I135237710"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5017595199"],"corresponding_institution_ids":["https://openalex.org/I135237710","https://openalex.org/I157725225","https://openalex.org/I2801919071"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.406,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.67725713,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"30","issue":"3","first_page":"779","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9818999767303467,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.8902425169944763},{"id":"https://openalex.org/keywords/antichain","display_name":"Antichain","score":0.8856695294380188},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8600051403045654},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8394820094108582},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7227783203125},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5800496339797974},{"id":"https://openalex.org/keywords/star-product","display_name":"Star product","score":0.41210126876831055},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3586359918117523}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.8902425169944763},{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.8856695294380188},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8600051403045654},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8394820094108582},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7227783203125},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5800496339797974},{"id":"https://openalex.org/C195800304","wikidata":"https://www.wikidata.org/wiki/Q7601281","display_name":"Star product","level":2,"score":0.41210126876831055},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3586359918117523},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s11083-012-9276-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-012-9276-y","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.1875","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.1875","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~west/pubs/smsn.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.299.5014","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.5014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/~west/pubs/smsn.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/85844","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/85844","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Baym","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/85844","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/85844","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Baym","raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W228286137","https://openalex.org/W300726166","https://openalex.org/W1020681818","https://openalex.org/W1566493102","https://openalex.org/W1992950420","https://openalex.org/W2000041159","https://openalex.org/W2057883156","https://openalex.org/W2078340224","https://openalex.org/W2078642151","https://openalex.org/W2087412834","https://openalex.org/W2089062952","https://openalex.org/W2129889116","https://openalex.org/W2247321008","https://openalex.org/W2325654786","https://openalex.org/W2330548796","https://openalex.org/W2611185757","https://openalex.org/W6600765635"],"related_works":["https://openalex.org/W2013313833","https://openalex.org/W28336341","https://openalex.org/W2111205855","https://openalex.org/W1967014394","https://openalex.org/W1854642140","https://openalex.org/W3213974985","https://openalex.org/W2142262870","https://openalex.org/W2142715583","https://openalex.org/W3159352419","https://openalex.org/W2084453534"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}