{"id":"https://openalex.org/W2023726635","doi":"https://doi.org/10.1093/jigpal/jzm011","title":"First-Order Theories of Orthogonality Structures","display_name":"First-Order Theories of Orthogonality Structures","publication_year":2007,"publication_date":"2007-05-22","ids":{"openalex":"https://openalex.org/W2023726635","doi":"https://doi.org/10.1093/jigpal/jzm011","mag":"2023726635"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzm011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzm011","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","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/A5073267410","display_name":"Ruaan Kellerman","orcid":"https://orcid.org/0000-0002-1945-3240"},"institutions":[{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["ZA"],"is_corresponding":true,"raw_author_name":"R. Kellerman","raw_affiliation_strings":["School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa. E-mail: "],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Johannesburg, Private Bag 3, Wits 2050, South Africa. E-mail: ","institution_ids":["https://openalex.org/I192619145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073267410"],"corresponding_institution_ids":["https://openalex.org/I192619145"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08048355,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"3","first_page":"255","last_page":"270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11727","display_name":"Advanced Algebra and Logic","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/T10126","display_name":"Logic, programming, and type systems","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/orthogonality","display_name":"Orthogonality","score":0.7782555818557739},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6298930644989014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45587509870529175},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.4008588492870331},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29888075590133667},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08871462941169739}],"concepts":[{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.7782555818557739},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6298930644989014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45587509870529175},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.4008588492870331},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29888075590133667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08871462941169739},{"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":1,"locations":[{"id":"doi:10.1093/jigpal/jzm011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzm011","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of IGPL","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1144950320","https://openalex.org/W1556189547","https://openalex.org/W1986790869","https://openalex.org/W2075253961","https://openalex.org/W2214237509"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2059318893","https://openalex.org/W2095582735","https://openalex.org/W1965698851","https://openalex.org/W834942123","https://openalex.org/W4232542516","https://openalex.org/W1967331680","https://openalex.org/W3176637561","https://openalex.org/W1587967017","https://openalex.org/W130629949"],"abstract_inverted_index":{"Journal":[0,43],"Article":[1,60],"First-Order":[2],"Theories":[3],"of":[4,14,17,44],"Orthogonality":[5],"Structures":[6],"Get":[7],"access":[8],"Ruaan":[9,11],"Kellerman":[10,12],"School":[13],"Mathematics,":[15],"University":[16],"the":[18,45],"Witwatersrand,":[19],"Johannesburg,":[20],"Private":[21],"Bag":[22],"3,":[23,50],"Wits":[24],"2050,":[25],"South":[26],"Africa.":[27],"E-mail:":[28],"kellerman@maths.wits.ac.za.":[29],"Search":[30],"for":[31],"other":[32],"works":[33],"by":[34],"this":[35],"author":[36],"on:":[37],"Oxford":[38],"Academic":[39],"Google":[40],"Scholar":[41],"Logic":[42],"IGPL,":[46],"Volume":[47],"15,":[48],"Issue":[49],"June":[51,58,68],"2007,":[52],"Pages":[53],"255\u2013270,":[54],"https://doi.org/10.1093/jigpal/jzm011":[55],"Published:":[56,66],"01":[57,67],"2007":[59,69],"history":[61],"Received:":[62],"29":[63],"September":[64],"2006":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}