{"id":"https://openalex.org/W2124254010","doi":"https://doi.org/10.1007/978-3-642-23568-9_13","title":"Involutive Division Generated by an Antigraded Monomial Ordering","display_name":"Involutive Division Generated by an Antigraded Monomial Ordering","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2124254010","doi":"https://doi.org/10.1007/978-3-642-23568-9_13","mag":"2124254010"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-23568-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23568-9_13","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, Dubna, Russia","Laboratory of Information Technologies, Institute for Nuclear Research, Dubna, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, Russia","institution_ids":["https://openalex.org/I32699454"]},{"raw_affiliation_string":"Laboratory of Information Technologies, Institute for Nuclear Research, Dubna, Russia#TAB#","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 State University, Saratov, Russia","Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia","institution_ids":["https://openalex.org/I125219893"]},{"raw_affiliation_string":"Department of Mathematics and Mechanics, Saratov State University, Saratov, Russia#TAB#","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":2.9442,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.92041522,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"158","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9941999912261963,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9941999912261963,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9925000071525574,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9889000058174133,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.9415452480316162},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.8968067169189453},{"id":"https://openalex.org/keywords/division","display_name":"Division (mathematics)","score":0.7061862945556641},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6775419116020203},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6470678448677063},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6015158295631409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5486807823181152},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5093821287155151},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37394750118255615},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37335336208343506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32536208629608154},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3214982748031616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2182406783103943},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1055586040019989},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08759361505508423}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.9415452480316162},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.8968067169189453},{"id":"https://openalex.org/C60798267","wikidata":"https://www.wikidata.org/wiki/Q1226939","display_name":"Division (mathematics)","level":2,"score":0.7061862945556641},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6775419116020203},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6470678448677063},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6015158295631409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5486807823181152},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5093821287155151},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37394750118255615},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37335336208343506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32536208629608154},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3214982748031616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2182406783103943},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1055586040019989},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08759361505508423},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-23568-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-23568-9_13","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W156666843","https://openalex.org/W622632975","https://openalex.org/W1483218536","https://openalex.org/W1510162831","https://openalex.org/W1543638401","https://openalex.org/W1549664293","https://openalex.org/W1595843857","https://openalex.org/W1597130484","https://openalex.org/W1975573855","https://openalex.org/W1990319014","https://openalex.org/W2009709707","https://openalex.org/W2029551259","https://openalex.org/W2042240076","https://openalex.org/W2045942144","https://openalex.org/W2047494540","https://openalex.org/W2051046060","https://openalex.org/W2066181227","https://openalex.org/W2090397743","https://openalex.org/W2175098281","https://openalex.org/W3004447218","https://openalex.org/W3039948875","https://openalex.org/W3043060850","https://openalex.org/W3103827386","https://openalex.org/W3123680863","https://openalex.org/W4243098353","https://openalex.org/W4244321844"],"related_works":["https://openalex.org/W1993634787","https://openalex.org/W2399505800","https://openalex.org/W3125614403","https://openalex.org/W2018253224","https://openalex.org/W4400317913","https://openalex.org/W2476923378","https://openalex.org/W333749553","https://openalex.org/W2249812388","https://openalex.org/W4294621565","https://openalex.org/W2023397165"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
