{"id":"https://openalex.org/W1802982494","doi":"https://doi.org/10.1007/11555964_15","title":"Janet-Like Monomial Division","display_name":"Janet-Like Monomial Division","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W1802982494","doi":"https://doi.org/10.1007/11555964_15","mag":"1802982494"},"language":"en","primary_location":{"id":"doi:10.1007/11555964_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11555964_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5065468649","display_name":"Vladimir P. Gerdt","orcid":"https://orcid.org/0000-0002-0825-1811"},"institutions":[{"id":"https://openalex.org/I32699454","display_name":"Joint Institute for Nuclear Research","ror":"https://ror.org/044yd9t77","country_code":"RU","type":"facility","lineage":["https://openalex.org/I32699454"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Vladimir P. Gerdt","raw_affiliation_strings":["Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980, Dubna, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute for Nuclear Research, 141980, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084860291","display_name":"Yu. A. Blinkov","orcid":"https://orcid.org/0000-0001-7340-0919"},"institutions":[{"id":"https://openalex.org/I125219893","display_name":"Saratov State University","ror":"https://ror.org/05jcsqx24","country_code":"RU","type":"education","lineage":["https://openalex.org/I125219893"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Yuri A. Blinkov","raw_affiliation_strings":["Department of Mathematics and Mechanics, Saratov University, 410071, Saratov, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov University, 410071, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5065468649"],"corresponding_institution_ids":["https://openalex.org/I32699454"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.229,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.88461538,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"174","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.912265956401825},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7863636016845703},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7171105742454529},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.6416295766830444},{"id":"https://openalex.org/keywords/division-algorithm","display_name":"Division algorithm","score":0.5064162015914917},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4539607763290405},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37770700454711914},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.371674120426178},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.26452624797821045},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.23004260659217834},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20855000615119934},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06887373328208923}],"concepts":[{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.912265956401825},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7863636016845703},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7171105742454529},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.6416295766830444},{"id":"https://openalex.org/C190715199","wikidata":"https://www.wikidata.org/wiki/Q3526714","display_name":"Division algorithm","level":3,"score":0.5064162015914917},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4539607763290405},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37770700454711914},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.371674120426178},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.26452624797821045},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.23004260659217834},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20855000615119934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06887373328208923}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/11555964_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11555964_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:jdsweb.jinr.ru:891","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/11555964_15","pdf_url":null,"source":{"id":"https://openalex.org/S4377196604","display_name":"JINR Document Server (Joint Institute for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32699454","host_organization_name":"Joint Institute for Nuclear Research","host_organization_lineage":["https://openalex.org/I32699454"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W622632975","https://openalex.org/W1512473557","https://openalex.org/W1587264501","https://openalex.org/W2008680854","https://openalex.org/W2027776248","https://openalex.org/W2045942144","https://openalex.org/W2051046060","https://openalex.org/W2077725083","https://openalex.org/W2090397743","https://openalex.org/W4238858352"],"related_works":["https://openalex.org/W3119559211","https://openalex.org/W156666843","https://openalex.org/W2388178587","https://openalex.org/W2162724120","https://openalex.org/W1618607655","https://openalex.org/W2094996819","https://openalex.org/W2420477268","https://openalex.org/W4225492784","https://openalex.org/W1601585824","https://openalex.org/W243046325"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
