{"id":"https://openalex.org/W1994650277","doi":"https://doi.org/10.1007/s10623-004-1705-5","title":"Local Schur\u2019s Lemma and Commutative Semifields","display_name":"Local Schur\u2019s Lemma and Commutative Semifields","publication_year":2005,"publication_date":"2005-06-13","ids":{"openalex":"https://openalex.org/W1994650277","doi":"https://doi.org/10.1007/s10623-004-1705-5","mag":"1994650277"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-004-1705-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-1705-5","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5108103330","display_name":"Vikram Jha","orcid":null},"institutions":[{"id":"https://openalex.org/I195939026","display_name":"Glasgow Caledonian University","ror":"https://ror.org/03dvm1235","country_code":"GB","type":"education","lineage":["https://openalex.org/I195939026"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Vikram Jha","raw_affiliation_strings":["School of Computing and Mathematics, Caledonian University, Cowcaddens Road, Glasgow, G4 0BA, Scotland","School of Computing and Mathematics, Caledonian University, Glasgow, Scotland G4 0BA#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Computing and Mathematics, Caledonian University, Cowcaddens Road, Glasgow, G4 0BA, Scotland","institution_ids":["https://openalex.org/I195939026"]},{"raw_affiliation_string":"School of Computing and Mathematics, Caledonian University, Glasgow, Scotland G4 0BA#TAB#","institution_ids":["https://openalex.org/I195939026"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108103330"],"corresponding_institution_ids":["https://openalex.org/I195939026"],"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":0.09963768,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"36","issue":"2","first_page":"203","last_page":"216"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9990000128746033,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9932000041007996,"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/mathematics","display_name":"Mathematics","score":0.7658575177192688},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.732414722442627},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5810226798057556},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4894970655441284},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.4789712727069855},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.4617730379104614},{"id":"https://openalex.org/keywords/schurs-lemma","display_name":"Schur's lemma","score":0.4156336188316345},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41501298546791077},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3381364643573761}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7658575177192688},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.732414722442627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5810226798057556},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4894970655441284},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.4789712727069855},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.4617730379104614},{"id":"https://openalex.org/C158385407","wikidata":"https://www.wikidata.org/wiki/Q1816952","display_name":"Schur's lemma","level":5,"score":0.4156336188316345},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41501298546791077},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3381364643573761},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-004-1705-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-004-1705-5","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1514434766","https://openalex.org/W1982352694","https://openalex.org/W2008400548","https://openalex.org/W2021886305","https://openalex.org/W2255825595","https://openalex.org/W2912810145","https://openalex.org/W2990144627","https://openalex.org/W4205504695","https://openalex.org/W4246544804"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W4285390085","https://openalex.org/W2801357573","https://openalex.org/W2974000959","https://openalex.org/W2106889256","https://openalex.org/W3178639942"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}