{"id":"https://openalex.org/W1510958320","doi":"https://doi.org/10.1007/978-3-540-87827-8_25","title":"Properties of Ascending Chains for Partial Difference Polynomial Systems","display_name":"Properties of Ascending Chains for Partial Difference Polynomial Systems","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1510958320","doi":"https://doi.org/10.1007/978-3-540-87827-8_25","mag":"1510958320"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-87827-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_25","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/A5071499932","display_name":"Guilin Zhang","orcid":"https://orcid.org/0000-0002-8005-2366"},"institutions":[{"id":"https://openalex.org/I4210129227","display_name":"Chinese Academy of Agricultural Mechanization Sciences","ror":"https://ror.org/03792qf33","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210129227"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Gui-Lin Zhang","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences,"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences,","institution_ids":["https://openalex.org/I4210129227","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017479931","display_name":"Xiao-Shan Gao","orcid":"https://orcid.org/0000-0003-2021-9395"},"institutions":[{"id":"https://openalex.org/I4210129227","display_name":"Chinese Academy of Agricultural Mechanization Sciences","ror":"https://ror.org/03792qf33","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210129227"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiao-Shan Gao","raw_affiliation_strings":["Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences,"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Mathematics Mechanization Institute of Systems Science, AMSS, Chinese Academy of Sciences,","institution_ids":["https://openalex.org/I4210129227","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5071499932"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210129227"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7723,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.69280068,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"307","last_page":"321"},"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":0.9994000196456909,"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":0.9952999949455261,"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":0.6893485188484192},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.633358895778656},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5597039461135864},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4706035554409027},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.4510844647884369},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.43672478199005127},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4173480272293091},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3558802604675293},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3447001576423645},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14454901218414307},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09058719873428345},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.06269484758377075},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05133405327796936}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6893485188484192},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.633358895778656},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5597039461135864},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4706035554409027},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.4510844647884369},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.43672478199005127},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4173480272293091},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3558802604675293},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3447001576423645},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14454901218414307},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09058719873428345},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.06269484758377075},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05133405327796936},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-87827-8_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-87827-8_25","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W20998216","https://openalex.org/W54492731","https://openalex.org/W145236249","https://openalex.org/W646873552","https://openalex.org/W1493847008","https://openalex.org/W1974479962","https://openalex.org/W1976944931","https://openalex.org/W1979742329","https://openalex.org/W1980662086","https://openalex.org/W1986863537","https://openalex.org/W2026253506","https://openalex.org/W2046652205","https://openalex.org/W2079572923","https://openalex.org/W2089954342","https://openalex.org/W2120467997","https://openalex.org/W2144905738","https://openalex.org/W2150489476","https://openalex.org/W2164167093","https://openalex.org/W2168552854","https://openalex.org/W2607250687","https://openalex.org/W4233650171","https://openalex.org/W4241623465","https://openalex.org/W4248084437","https://openalex.org/W4250483825"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W2951380120","https://openalex.org/W4299561997","https://openalex.org/W4313185199","https://openalex.org/W4384652335","https://openalex.org/W2950832823","https://openalex.org/W2731785143","https://openalex.org/W4400512493","https://openalex.org/W3198669146"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"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"}
