{"id":"https://openalex.org/W2032611031","doi":"https://doi.org/10.1080/10586458.2002.10504471","title":"Power Integral Bases in Orders of Composite Fields","display_name":"Power Integral Bases in Orders of Composite Fields","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2032611031","doi":"https://doi.org/10.1080/10586458.2002.10504471","mag":"2032611031"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2002.10504471","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2002.10504471","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2002.10504471","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2002.10504471","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048968726","display_name":"Istv\u00e1n Ga\u00e1l","orcid":"https://orcid.org/0000-0002-8266-9570"},"institutions":[{"id":"https://openalex.org/I132735039","display_name":"University of Debrecen","ror":"https://ror.org/02xf66n48","country_code":"HU","type":"education","lineage":["https://openalex.org/I132735039"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Istv\u00e1n Ga\u00e1l","raw_affiliation_strings":["University of Debrecen, Mathematical Institute , H-4010 Debrecen Pf.12, Hungary E-mail: igaal@math.klte.hu"],"affiliations":[{"raw_affiliation_string":"University of Debrecen, Mathematical Institute , H-4010 Debrecen Pf.12, Hungary E-mail: igaal@math.klte.hu","institution_ids":["https://openalex.org/I132735039"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5098545166","display_name":"P\u00e1ter Olajos","orcid":null},"institutions":[{"id":"https://openalex.org/I132735039","display_name":"University of Debrecen","ror":"https://ror.org/02xf66n48","country_code":"HU","type":"education","lineage":["https://openalex.org/I132735039"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"P\u00e1ter Olajos","raw_affiliation_strings":["University of Debrecen, Mathematical Institute , H-401O Debrecen Pf.12., Hungary E-mail: olaj@math.klte.hu"],"affiliations":[{"raw_affiliation_string":"University of Debrecen, Mathematical Institute , H-401O Debrecen Pf.12., Hungary E-mail: olaj@math.klte.hu","institution_ids":["https://openalex.org/I132735039"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040566925","display_name":"Michael Pohst","orcid":"https://orcid.org/0000-0002-1691-2675"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Pohst","raw_affiliation_strings":["Technische Universit\u00e4t Berlin, Fakult\u00e4t II, Institut f\u00fcr Mathematik , Strasse des 17. Juni 136, Berlin , 10623 , Germany E-mail: pohst@math.tu-berlin.de"],"affiliations":[{"raw_affiliation_string":"Technische Universit\u00e4t Berlin, Fakult\u00e4t II, Institut f\u00fcr Mathematik , Strasse des 17. Juni 136, Berlin , 10623 , Germany E-mail: pohst@math.tu-berlin.de","institution_ids":["https://openalex.org/I4577782"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048968726"],"corresponding_institution_ids":["https://openalex.org/I132735039"],"apc_list":null,"apc_paid":null,"fwci":0.4261,"has_fulltext":true,"cited_by_count":24,"citation_normalized_percentile":{"value":0.6861775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"1","first_page":"87","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9979000091552734,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9976000189781189,"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/mathematics","display_name":"Mathematics","score":0.8939908742904663},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.709962010383606},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6485104560852051},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5789478421211243},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.5683273673057556},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5483000874519348},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5469709038734436},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5204165577888489},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.511326014995575},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4704764485359192},{"id":"https://openalex.org/keywords/unique-factorization-domain","display_name":"Unique factorization domain","score":0.42407795786857605},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4160223603248596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4130246341228485},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3869324326515198},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33489465713500977},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26010841131210327},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1017158031463623},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.08907720446586609}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8939908742904663},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.709962010383606},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6485104560852051},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5789478421211243},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.5683273673057556},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5483000874519348},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5469709038734436},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5204165577888489},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.511326014995575},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4704764485359192},{"id":"https://openalex.org/C185592164","wikidata":"https://www.wikidata.org/wiki/Q1052579","display_name":"Unique factorization domain","level":3,"score":0.42407795786857605},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4160223603248596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4130246341228485},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3869324326515198},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33489465713500977},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26010841131210327},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1017158031463623},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.08907720446586609},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2002.10504471","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2002.10504471","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2002.10504471","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1057860317","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1057860317","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1080/10586458.2002.10504471","is_oa":true,"landing_page_url":"https://doi.org/10.1080/10586458.2002.10504471","pdf_url":"https://www.tandfonline.com/doi/abs/10.1080/10586458.2002.10504471","source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2032611031.pdf","grobid_xml":"https://content.openalex.org/works/W2032611031.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W2029447385","https://openalex.org/W2080827099","https://openalex.org/W2093580033","https://openalex.org/W2314660437","https://openalex.org/W2483788749","https://openalex.org/W2487214624"],"related_works":["https://openalex.org/W122992567","https://openalex.org/W2060844765","https://openalex.org/W2619596770","https://openalex.org/W2947171056","https://openalex.org/W4212806998","https://openalex.org/W4300191954","https://openalex.org/W2901296693","https://openalex.org/W4298073638","https://openalex.org/W2949457045","https://openalex.org/W2355470482"],"abstract_inverted_index":{"We":[0,16],"consider":[1],"the":[2,20,23,27,30,36,40,44,58],"existence":[3],"of":[4,10,13,22,29,32,39,43,77],"power":[5,63],"integral":[6,64],"bases":[7],"in":[8,52],"composites":[9],"polynomial":[11,45],"orders":[12,46],"number":[14],"fields.":[15],"prove":[17],"that":[18],"if":[19],"degree":[21],"composite":[24,59],"field":[25],"equals":[26],"product":[28],"degrees":[31],"its":[33],"subfields":[34],"and":[35],"minimal":[37],"polynomials":[38],"generating":[41],"elements":[42],"have":[47],"a":[48,74],"multiple":[49],"linear":[50],"factor":[51],"their":[53],"factorization":[54],"modulo":[55],"q,":[56],"then":[57],"order":[60],"admits":[61],"no":[62],"bases.":[65],"As":[66],"an":[67],"application":[68],"we":[69],"provide":[70],"several":[71],"examples":[72],"including":[73],"parametric":[75],"family":[76],"\u201csimplest":[78],"sextic":[79],"fields.\u201d":[80]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}