{"id":"https://openalex.org/W4214747203","doi":"https://doi.org/10.1007/978-1-4612-3650-4","title":"Hypercomplex Numbers","display_name":"Hypercomplex Numbers","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W4214747203","doi":"https://doi.org/10.1007/978-1-4612-3650-4","mag":"592889898"},"language":"en","primary_location":{"id":"doi:10.1007/978-1-4612-3650-4","doi":"https://doi.org/10.1007/978-1-4612-3650-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4612-3650-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"book"},"volume":null,"type":"book","is_traditional":true,"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/A5111707524","display_name":"Isaiah L. Kantor","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"I. L. Kantor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5078697540","display_name":"A. S. Solodovnikov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. S. Solodovnikov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5256,"has_fulltext":false,"cited_by_count":472,"citation_normalized_percentile":{"value":0.68674699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.0005000000237487257,"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"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.0003000000142492354,"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/hypercomplex-numbers","display_name":"hypercomplex numbers","score":0.9800000190734863},{"id":"https://openalex.org/keywords/quaternions","display_name":"quaternions","score":0.847000002861023},{"id":"https://openalex.org/keywords/octonions","display_name":"octonions","score":0.9649999737739563},{"id":"https://openalex.org/keywords/sedenions","display_name":"sedenions","score":0.7369999885559082},{"id":"https://openalex.org/keywords/clifford-algebra","display_name":"Clifford algebra","score":0.7960000038146973},{"id":"https://openalex.org/keywords/number-systems","display_name":"number systems","score":0.4009999930858612}],"concepts":[{"id":"https://openalex.org/C203249530","wikidata":"https://www.wikidata.org/wiki/Q837414","display_name":"Hypercomplex number","level":3,"score":0.8957842588424683},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44356489181518555},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.047594547271728516},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.039197444915771484}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-1-4612-3650-4","doi":"https://doi.org/10.1007/978-1-4612-3650-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-1-4612-3650-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":null,"raw_type":"book"},{"id":"mag:592889898","doi":null,"is_oa":false,"landing_page_url":"http://ci.nii.ac.jp/ncid/BA06997495","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4241818283","https://openalex.org/W4206130663","https://openalex.org/W4205855989","https://openalex.org/W1551061292","https://openalex.org/W4248362362","https://openalex.org/W4240902276","https://openalex.org/W4237143419","https://openalex.org/W4246179849","https://openalex.org/W4250581551","https://openalex.org/W2496406730"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":34},{"year":2022,"cited_by_count":28},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":27},{"year":2019,"cited_by_count":20},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":24},{"year":2015,"cited_by_count":21},{"year":2014,"cited_by_count":27},{"year":2013,"cited_by_count":24},{"year":2012,"cited_by_count":16}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2022-03-02T00:00:00"}