{"id":"https://openalex.org/W7123710709","doi":"https://doi.org/10.1016/j.jsc.2026.102553","title":"Sum-and-quotient characteristic decomposition of polynomial ideals","display_name":"Sum-and-quotient characteristic decomposition of polynomial ideals","publication_year":2026,"publication_date":"2026-01-13","ids":{"openalex":"https://openalex.org/W7123710709","doi":"https://doi.org/10.1016/j.jsc.2026.102553"},"language":"en","primary_location":{"id":"doi:10.1016/j.jsc.2026.102553","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jsc.2026.102553","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5122911541","display_name":"Dongming Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210100255","display_name":"Beijing Academy of Artificial Intelligence","ror":"https://ror.org/016a74861","country_code":"CN","type":"other","lineage":["https://openalex.org/I4210100255"]},{"id":"https://openalex.org/I4210159731","display_name":"LIP6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]},{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Dongming Wang","raw_affiliation_strings":["LMIB \u2013 School of Artificial Intelligence, Beihang University, Beijing, 100191, China","Laboratoire d'Informatique de Paris 6, CNRS \u2013 Sorbonne Universit\u00e9, Paris, 75252, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMIB \u2013 School of Artificial Intelligence, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I4210100255","https://openalex.org/I82880672"]},{"raw_affiliation_string":"Laboratoire d'Informatique de Paris 6, CNRS \u2013 Sorbonne Universit\u00e9, Paris, 75252, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210159731","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025340003","display_name":"Linpeng Wang","orcid":"https://orcid.org/0009-0002-2834-3200"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linpeng Wang","raw_affiliation_strings":["LMIB \u2013 School of Mathematical Sciences, Beihang University, Beijing, 100191, China"],"raw_orcid":"https://orcid.org/0009-0002-2834-3200","affiliations":[{"raw_affiliation_string":"LMIB \u2013 School of Mathematical Sciences, Beihang University, Beijing, 100191, China","institution_ids":["https://openalex.org/I82880672"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025340003","https://openalex.org/A5122911541"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210100255","https://openalex.org/I4210159731","https://openalex.org/I82880672"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10587977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"136","issue":null,"first_page":"102553","last_page":"102553"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9302999973297119,"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":0.9302999973297119,"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":0.0478999987244606,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.004100000020116568,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6791999936103821},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6287000179290771},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5016000270843506},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.483599990606308},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.48089998960494995},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4702000021934509},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.45719999074935913},{"id":"https://openalex.org/keywords/hilbert\u2013poincar\u00e9-series","display_name":"Hilbert\u2013Poincar\u00e9 series","score":0.45239999890327454},{"id":"https://openalex.org/keywords/hilbert-series-and-hilbert-polynomial","display_name":"Hilbert series and Hilbert polynomial","score":0.4251999855041504}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.873199999332428},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6791999936103821},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6287000179290771},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5016000270843506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49129998683929443},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.483599990606308},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.48089998960494995},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4702000021934509},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C185982889","wikidata":"https://www.wikidata.org/wiki/Q5761255","display_name":"Hilbert\u2013Poincar\u00e9 series","level":2,"score":0.45239999890327454},{"id":"https://openalex.org/C57033185","wikidata":"https://www.wikidata.org/wiki/Q5761236","display_name":"Hilbert series and Hilbert polynomial","level":3,"score":0.4251999855041504},{"id":"https://openalex.org/C45025165","wikidata":"https://www.wikidata.org/wiki/Q13424738","display_name":"Stable polynomial","level":5,"score":0.39010000228881836},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3783999979496002},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.36660000681877136},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3546000123023987},{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.3343999981880188},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.3174999952316284},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.3149000108242035},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.31369999051094055},{"id":"https://openalex.org/C97395012","wikidata":"https://www.wikidata.org/wiki/Q1422356","display_name":"Reciprocal polynomial","level":4,"score":0.30070000886917114},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29100000858306885},{"id":"https://openalex.org/C151492637","wikidata":"https://www.wikidata.org/wiki/Q656645","display_name":"Hilbert's basis theorem","level":5,"score":0.2870999872684479},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C108741685","wikidata":"https://www.wikidata.org/wiki/Q392477","display_name":"Factorization of polynomials","level":4,"score":0.2727000117301941},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2703999876976013},{"id":"https://openalex.org/C76103427","wikidata":"https://www.wikidata.org/wiki/Q5761197","display_name":"Hilbert R-tree","level":5,"score":0.26460000872612},{"id":"https://openalex.org/C104528550","wikidata":"https://www.wikidata.org/wiki/Q506265","display_name":"Triangular matrix","level":3,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jsc.2026.102553","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jsc.2026.102553","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1317734491","display_name":null,"funder_award_id":"1262015","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"}],"funders":[{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null},{"id":"https://openalex.org/F4320327539","display_name":"Beijing Innovation Center for Future Chip","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W170447493","https://openalex.org/W188825013","https://openalex.org/W278227866","https://openalex.org/W1483218536","https://openalex.org/W1493847008","https://openalex.org/W1536271794","https://openalex.org/W1606655282","https://openalex.org/W1975442862","https://openalex.org/W1990451653","https://openalex.org/W1992805538","https://openalex.org/W2009140152","https://openalex.org/W2027044504","https://openalex.org/W2031399497","https://openalex.org/W2039228526","https://openalex.org/W2052195169","https://openalex.org/W2067965564","https://openalex.org/W2120467997","https://openalex.org/W2127928734","https://openalex.org/W2128687423","https://openalex.org/W2963086861","https://openalex.org/W2991157132","https://openalex.org/W3037107951","https://openalex.org/W3194658714","https://openalex.org/W4205227699","https://openalex.org/W4240837394","https://openalex.org/W4248084437","https://openalex.org/W4248269519","https://openalex.org/W4249549360","https://openalex.org/W4250550876","https://openalex.org/W4388672881","https://openalex.org/W4400648272"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-01-24T23:23:39.755997","created_date":"2026-01-14T00:00:00"}
