{"id":"https://openalex.org/W2604262947","doi":"https://doi.org/10.1002/malq.201600029","title":"A note on prime models in weakly o\u2010minimal structures","display_name":"A note on prime models in weakly o\u2010minimal structures","publication_year":2017,"publication_date":"2017-03-31","ids":{"openalex":"https://openalex.org/W2604262947","doi":"https://doi.org/10.1002/malq.201600029","mag":"2604262947"},"language":"en","primary_location":{"id":"doi:10.1002/malq.201600029","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201600029","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5003394342","display_name":"Somayyeh Tari","orcid":"https://orcid.org/0000-0001-5569-2380"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Somayyeh Tari","raw_affiliation_strings":["Department of Mathematics Azarbaijan Shahid Madani University Kilometer 35, Tabriz/Azarshahr Road Tabriz 53714\u2010161 Islamic Republic of Iran","Department of Mathematics, Azarbaijan Shahid Madani University, Kilometer 35, Tabriz/Azarshahr Road, Tabriz, 53714-161 Islamic Republic of Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Azarbaijan Shahid Madani University Kilometer 35, Tabriz/Azarshahr Road Tabriz 53714\u2010161 Islamic Republic of Iran","institution_ids":["https://openalex.org/I51301133"]},{"raw_affiliation_string":"Department of Mathematics, Azarbaijan Shahid Madani University, Kilometer 35, Tabriz/Azarshahr Road, Tabriz, 53714-161 Islamic Republic of Iran","institution_ids":["https://openalex.org/I51301133"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003394342"],"corresponding_institution_ids":["https://openalex.org/I51301133"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.4086,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56358181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"63","issue":"1-2","first_page":"109","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9934999942779541,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9564999938011169,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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":0.8652611970901489},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.759064257144928},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.663095235824585},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5712668299674988},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5016880035400391},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49265414476394653},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4738258123397827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4598544239997864},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4505418837070465},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42159903049468994},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36211782693862915},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06548702716827393},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.055876851081848145}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8652611970901489},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.759064257144928},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.663095235824585},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5712668299674988},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5016880035400391},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49265414476394653},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4738258123397827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4598544239997864},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4505418837070465},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42159903049468994},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36211782693862915},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06548702716827393},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.055876851081848145},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/malq.201600029","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.201600029","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0044-3050","issn":["0044-3050","0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1503694879","https://openalex.org/W1871045369","https://openalex.org/W2010757891","https://openalex.org/W2031773420","https://openalex.org/W2065758441","https://openalex.org/W2130303190","https://openalex.org/W2135487436","https://openalex.org/W2153758016","https://openalex.org/W2162052349"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W4301247218","https://openalex.org/W2129818458","https://openalex.org/W4243074410","https://openalex.org/W4289551052","https://openalex.org/W4390756076","https://openalex.org/W2340777379"],"abstract_inverted_index":{"Let":[0],"be":[1],"a":[2,74],"weakly":[3,45,76],"o\u2010minimal":[4,20,46,59,77],"structure":[5],"with":[6,48,79],"the":[7,18,24,29,49,67,70],"strong":[8,50],"cell":[9,51],"decomposition":[10,52],"property.":[11],"In":[12],"this":[13],"note,":[14],"we":[15,65],"show":[16,41,66],"that":[17,42],"canonical":[19,58],"extension":[21],"of":[22,28,34,69],"is":[23],"unique":[25],"prime":[26,71,80],"model":[27],"full":[30],"first":[31],"order":[32],"theory":[33,78],"over":[35],"any":[36],"set":[37],".":[38],"We":[39],"also":[40],"if":[43],"two":[44],"structures":[47],"property":[53],"are":[54,61],"isomorphic":[55,62],"then,":[56],"their":[57],"extensions":[60],"too.":[63],"Finally,":[64],"uniqueness":[68],"models":[72],"in":[73],"complete":[75],"models.":[81]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-07T14:30:12.667765","created_date":"2025-10-10T00:00:00"}
