{"id":"https://openalex.org/W4310979020","doi":"https://doi.org/10.1142/s0218196722500710","title":"Rational function semifields of tropical curves are finitely generated over the tropical semifield","display_name":"Rational function semifields of tropical curves are finitely generated over the tropical semifield","publication_year":2022,"publication_date":"2022-11-30","ids":{"openalex":"https://openalex.org/W4310979020","doi":"https://doi.org/10.1142/s0218196722500710"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196722500710","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500710","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","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/A5104114820","display_name":"JuAe Song","orcid":null},"institutions":[{"id":"https://openalex.org/I69740276","display_name":"Tokyo Metropolitan University","ror":"https://ror.org/00ws30h19","country_code":"JP","type":"education","lineage":["https://openalex.org/I69740276"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Song JuAe","raw_affiliation_strings":["Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji Tokyo, 192-0397, Japan"],"affiliations":[{"raw_affiliation_string":"Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji Tokyo, 192-0397, Japan","institution_ids":["https://openalex.org/I69740276"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5104114820"],"corresponding_institution_ids":["https://openalex.org/I69740276"],"apc_list":null,"apc_paid":null,"fwci":0.1461,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.50786644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"32","issue":"08","first_page":"1575","last_page":"1594"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9973999857902527,"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":0.9973999857902527,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9635000228881836,"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":0.8783377408981323},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.708995521068573},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5963530540466309},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5719281435012817},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.45183736085891724},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.44350722432136536},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43140357732772827},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4082150161266327}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8783377408981323},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.708995521068573},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5963530540466309},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5719281435012817},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.45183736085891724},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.44350722432136536},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43140357732772827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4082150161266327},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196722500710","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196722500710","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1485445902","https://openalex.org/W1569011884","https://openalex.org/W1571408595","https://openalex.org/W1969148754","https://openalex.org/W2036822603","https://openalex.org/W2080713981","https://openalex.org/W2083387674","https://openalex.org/W2091375295","https://openalex.org/W2142533317","https://openalex.org/W2255136811","https://openalex.org/W2561403677","https://openalex.org/W2963357934","https://openalex.org/W2963851660","https://openalex.org/W3038041243","https://openalex.org/W3099409833","https://openalex.org/W3102814780","https://openalex.org/W3189909561","https://openalex.org/W4248269519","https://openalex.org/W4293097209"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2768503191","https://openalex.org/W2039550936","https://openalex.org/W4251409357","https://openalex.org/W2139158010","https://openalex.org/W2328639173","https://openalex.org/W26434650","https://openalex.org/W2995699320"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,34],"the":[3,18,46,68,71],"rational":[4,47,72],"function":[5,48,73],"semifield":[6,16,20,49,74],"of":[7,50,70,75],"a":[8,15,26,36,58],"tropical":[9,19,41],"curve":[10],"is":[11,54],"finitely":[12,55],"generated":[13,56],"as":[14,57],"over":[17],"[Formula:":[21,43,51,59,63,76,80],"see":[22,44,52,60,64,77,81],"text]":[23,53,65,78],"by":[24,79],"giving":[25],"specific":[27],"finite":[28,37],"generating":[29],"set.":[30],"Also,":[31],"we":[32],"show":[33],"for":[35,67],"harmonic":[38],"morphism":[39],"between":[40],"curves":[42],"text],":[45],"text]-algebra,":[61],"where":[62],"stands":[66],"pull-back":[69],"text].":[82]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}