{"id":"https://openalex.org/W1481680461","doi":"https://doi.org/10.1023/a:1009701608825","title":"Involution Narrowing Algebra","display_name":"Involution Narrowing Algebra","publication_year":1997,"publication_date":"1997-10-01","ids":{"openalex":"https://openalex.org/W1481680461","doi":"https://doi.org/10.1023/a:1009701608825","mag":"1481680461"},"language":"en","primary_location":{"id":"doi:10.1023/a:1009701608825","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009701608825","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","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/A5000854176","display_name":"William J. Older","orcid":null},"institutions":[{"id":"https://openalex.org/I153908563","display_name":"Nortel (Canada)","ror":"https://ror.org/03rz4pm90","country_code":"CA","type":"company","lineage":["https://openalex.org/I153908563"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"William J. Older","raw_affiliation_strings":["Bell Northern Research Ltd., P. O. Box 3511, Station C, Ottawa, Ontario, Canada, K1Y 4H7","Bell-Northern Research Ltd., P.O. Box 3511, Station C, Ottawa, Ontario, Canada, K1Y 4H7"],"affiliations":[{"raw_affiliation_string":"Bell Northern Research Ltd., P. O. Box 3511, Station C, Ottawa, Ontario, Canada, K1Y 4H7","institution_ids":["https://openalex.org/I153908563"]},{"raw_affiliation_string":"Bell-Northern Research Ltd., P.O. Box 3511, Station C, Ottawa, Ontario, Canada, K1Y 4H7","institution_ids":["https://openalex.org/I153908563"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000854176"],"corresponding_institution_ids":["https://openalex.org/I153908563"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09885838,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"2","first_page":"113","last_page":"130"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9940000176429749,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9728000164031982,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.7059388756752014},{"id":"https://openalex.org/keywords/involution","display_name":"Involution (esoterism)","score":0.6182068586349487},{"id":"https://openalex.org/keywords/idempotence","display_name":"Idempotence","score":0.5566293001174927},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.5082297325134277},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.5049071907997131},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5017886161804199},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.47992855310440063},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.44680821895599365},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3697594404220581},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32974469661712646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10956630110740662}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7059388756752014},{"id":"https://openalex.org/C2781409172","wikidata":"https://www.wikidata.org/wiki/Q17056802","display_name":"Involution (esoterism)","level":3,"score":0.6182068586349487},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.5566293001174927},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.5082297325134277},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.5049071907997131},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5017886161804199},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.47992855310440063},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.44680821895599365},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3697594404220581},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32974469661712646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10956630110740662},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1009701608825","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1009701608825","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1518355145","https://openalex.org/W1566513760","https://openalex.org/W1990426442","https://openalex.org/W2002713832","https://openalex.org/W2617712795","https://openalex.org/W4206473031","https://openalex.org/W4238181999","https://openalex.org/W6630924741"],"related_works":["https://openalex.org/W2360405885","https://openalex.org/W2322615891","https://openalex.org/W2784494936","https://openalex.org/W1993276116","https://openalex.org/W2124014048","https://openalex.org/W2092054416","https://openalex.org/W2963481928","https://openalex.org/W2807981631","https://openalex.org/W3208637709","https://openalex.org/W2418579592"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}