{"id":"https://openalex.org/W1570423461","doi":"https://doi.org/10.1007/978-3-540-87827-8_29","title":"On the Computation of Elimination Ideals of Boolean Polynomial Rings","display_name":"On the Computation of Elimination Ideals of Boolean Polynomial Rings","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1570423461","doi":"https://doi.org/10.1007/978-3-540-87827-8_29","mag":"1570423461"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87827-8_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_29","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/A5050208307","display_name":"Yosuke Sato","orcid":"https://orcid.org/0000-0002-2772-2332"},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yosuke Sato","raw_affiliation_strings":["Tokyo University of Science, Tokyo, Japan","Tokyo Univ. of Science, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Tokyo University of Science, Tokyo, Japan","institution_ids":["https://openalex.org/I161296585"]},{"raw_affiliation_string":"Tokyo Univ. of Science, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I161296585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110212239","display_name":"Akira Nagai","orcid":null},"institutions":[{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Akira Nagai","raw_affiliation_strings":["NTT Information Sharing Platform Laboratories, Tokyo, Japan","NTT Information Sharing Platform Laboratories, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"NTT Information Sharing Platform Laboratories, Tokyo, Japan","institution_ids":["https://openalex.org/I2251713219"]},{"raw_affiliation_string":"NTT Information Sharing Platform Laboratories, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I2251713219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110125005","display_name":"Shutaro Inoue","orcid":null},"institutions":[{"id":"https://openalex.org/I161296585","display_name":"Tokyo University of Science","ror":"https://ror.org/05sj3n476","country_code":"JP","type":"education","lineage":["https://openalex.org/I161296585"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shutaro Inoue","raw_affiliation_strings":["Tokyo University of Science, Tokyo, Japan","Tokyo Univ. of Science, Tokyo, Japan#TAB#"],"affiliations":[{"raw_affiliation_string":"Tokyo University of Science, Tokyo, Japan","institution_ids":["https://openalex.org/I161296585"]},{"raw_affiliation_string":"Tokyo Univ. of Science, Tokyo, Japan#TAB#","institution_ids":["https://openalex.org/I161296585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050208307"],"corresponding_institution_ids":["https://openalex.org/I161296585"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.703,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88741722,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"334","last_page":"348"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9993000030517578,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9869999885559082,"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/ideal","display_name":"Ideal (ethics)","score":0.7776978015899658},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.7636791467666626},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6602185964584351},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6509822607040405},{"id":"https://openalex.org/keywords/gr\u00f6bner-basis","display_name":"Gr\u00f6bner basis","score":0.6353039741516113},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.6337206363677979},{"id":"https://openalex.org/keywords/boolean-ring","display_name":"Boolean ring","score":0.607475996017456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5303013324737549},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.5098547339439392},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4506695866584778},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41710129380226135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39875417947769165},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35351452231407166},{"id":"https://openalex.org/keywords/quotient-ring","display_name":"Quotient ring","score":0.3049014210700989},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29485225677490234},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19312062859535217}],"concepts":[{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7776978015899658},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.7636791467666626},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6602185964584351},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6509822607040405},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.6353039741516113},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6337206363677979},{"id":"https://openalex.org/C128134353","wikidata":"https://www.wikidata.org/wiki/Q2634401","display_name":"Boolean ring","level":5,"score":0.607475996017456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5303013324737549},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5098547339439392},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4506695866584778},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41710129380226135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39875417947769165},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35351452231407166},{"id":"https://openalex.org/C19787925","wikidata":"https://www.wikidata.org/wiki/Q619436","display_name":"Quotient ring","level":4,"score":0.3049014210700989},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29485225677490234},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19312062859535217},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-87827-8_29","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_29","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":13,"referenced_works":["https://openalex.org/W22319829","https://openalex.org/W1554822239","https://openalex.org/W1558482861","https://openalex.org/W1584569710","https://openalex.org/W2007889596","https://openalex.org/W2028999315","https://openalex.org/W2045154989","https://openalex.org/W2075497274","https://openalex.org/W2078863580","https://openalex.org/W2095764258","https://openalex.org/W2168553897","https://openalex.org/W3007626758","https://openalex.org/W3102191769"],"related_works":["https://openalex.org/W2804213583","https://openalex.org/W2891690413","https://openalex.org/W4310297568","https://openalex.org/W4287022215","https://openalex.org/W2072540733","https://openalex.org/W2139654767","https://openalex.org/W2380601865","https://openalex.org/W2025748361","https://openalex.org/W2070901745","https://openalex.org/W2362788747"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
