{"id":"https://openalex.org/W2018626936","doi":"https://doi.org/10.1007/s00153-005-0304-0","title":"There is no ordering on the classes in the generalized high/low hierarchies","display_name":"There is no ordering on the classes in the generalized high/low hierarchies","publication_year":2005,"publication_date":"2005-07-18","ids":{"openalex":"https://openalex.org/W2018626936","doi":"https://doi.org/10.1007/s00153-005-0304-0","mag":"2018626936"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-005-0304-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-005-0304-0","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/A5033772009","display_name":"Antonio Montalb\u00e1n","orcid":"https://orcid.org/0000-0002-5068-1444"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Antonio Montalb\u00e1n","raw_affiliation_strings":["Cornell University, Ithaca, NY, 14853, USA","Cornell University"],"affiliations":[{"raw_affiliation_string":"Cornell University, Ithaca, NY, 14853, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Cornell University","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033772009"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12857766,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"45","issue":"2","first_page":"215","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9980999827384949,"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":0.9930999875068665,"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/mathematics","display_name":"Mathematics","score":0.8516232967376709},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.7982927560806274},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7899481058120728},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.6480692625045776},{"id":"https://openalex.org/keywords/turing","display_name":"Turing","score":0.6121348738670349},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5670248866081238},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.5466107726097107},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.513948380947113},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4520818591117859},{"id":"https://openalex.org/keywords/analytical-hierarchy","display_name":"Analytical hierarchy","score":0.41228657960891724},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37681883573532104},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.374307245016098},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26578330993652344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10906815528869629},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.06303736567497253}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8516232967376709},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.7982927560806274},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7899481058120728},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6480692625045776},{"id":"https://openalex.org/C9870796","wikidata":"https://www.wikidata.org/wiki/Q490481","display_name":"Turing","level":2,"score":0.6121348738670349},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5670248866081238},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.5466107726097107},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.513948380947113},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4520818591117859},{"id":"https://openalex.org/C176053320","wikidata":"https://www.wikidata.org/wiki/Q2878515","display_name":"Analytical hierarchy","level":3,"score":0.41228657960891724},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37681883573532104},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.374307245016098},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26578330993652344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10906815528869629},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.06303736567497253},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C87345402","wikidata":"https://www.wikidata.org/wiki/Q485202","display_name":"Analytic hierarchy process","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-005-0304-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-005-0304-0","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W106848201","https://openalex.org/W1965251765","https://openalex.org/W2043719938","https://openalex.org/W2056414301","https://openalex.org/W2077145975","https://openalex.org/W2082637799","https://openalex.org/W2082980239","https://openalex.org/W2114190286","https://openalex.org/W2144999713","https://openalex.org/W2167819410","https://openalex.org/W2317058266","https://openalex.org/W2500837594","https://openalex.org/W4232277851"],"related_works":["https://openalex.org/W2187310579","https://openalex.org/W1517932751","https://openalex.org/W1545660605","https://openalex.org/W2401586919","https://openalex.org/W2009663113","https://openalex.org/W1965531865","https://openalex.org/W3033862888","https://openalex.org/W3080160234","https://openalex.org/W4287765525","https://openalex.org/W4294290144"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
