{"id":"https://openalex.org/W7154148305","doi":"https://doi.org/10.1112/plms.70151","title":"Systems of ideals parameterized by combinatorial structures","display_name":"Systems of ideals parameterized by combinatorial structures","publication_year":2026,"publication_date":"2026-04-01","ids":{"openalex":"https://openalex.org/W7154148305","doi":"https://doi.org/10.1112/plms.70151"},"language":"en","primary_location":{"id":"doi:10.1112/plms.70151","doi":"https://doi.org/10.1112/plms.70151","is_oa":false,"landing_page_url":"https://doi.org/10.1112/plms.70151","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"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/A5017778032","display_name":"Robert P. Laudone","orcid":"https://orcid.org/0000-0003-1987-5846","observed_orcids":["https://orcid.org/0000-0003-1987-5846"]},"institutions":[{"id":"https://openalex.org/I189158971","display_name":"United States Naval Academy","ror":"https://ror.org/00znex860","country_code":"US","type":"education","lineage":["https://openalex.org/I1330347796","https://openalex.org/I189158971","https://openalex.org/I3130687028"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Robert P. Laudone","raw_affiliation_strings":["Department of Mathematics US Naval Academy Annapolis Maryland USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics US Naval Academy Annapolis Maryland USA","institution_ids":["https://openalex.org/I189158971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009159816","display_name":"Andrew Snowden","orcid":"https://orcid.org/0009-0004-9952-7714","observed_orcids":["https://orcid.org/0009-0004-9952-7714"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew Snowden","raw_affiliation_strings":["Department of Mathematics University of Michigan Ann Arbor Michigan USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics University of Michigan Ann Arbor Michigan USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017778032"],"corresponding_institution_ids":["https://openalex.org/I189158971"],"apc_list":{"value":4700,"currency":"USD","value_usd":4700},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.35232784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"132","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9678000211715698,"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"}},"topics":[{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9678000211715698,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.012299999594688416,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.011300000362098217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cohen-s-theorem","display_name":"Cohen's theorem","score":0.7009999752044678},{"id":"https://openalex.org/keywords/noetherianity","display_name":"noetherianity","score":0.671999990940094},{"id":"https://openalex.org/keywords/polynomial-rings","display_name":"polynomial rings","score":0.621999979019165},{"id":"https://openalex.org/keywords/trees","display_name":"trees","score":0.6610000133514404},{"id":"https://openalex.org/keywords/combinatorial-structures","display_name":"combinatorial structures","score":0.7670000195503235},{"id":"https://openalex.org/keywords/permutation-groups","display_name":"permutation groups","score":0.7509999871253967},{"id":"https://openalex.org/keywords/fraisse-limits","display_name":"Fra\u00efss\u00e9 limits","score":0.9539999961853027},{"id":"https://openalex.org/keywords/model-theory","display_name":"model theory","score":0.7329999804496765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8974000215530396},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.6399000287055969},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.6266000270843506},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5263000130653381},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.511900007724762},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.508400022983551},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.4632999897003174},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.4603999853134155},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4284999966621399},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.42570000886917114},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4203999936580658},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4049000144004822},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.40149998664855957},{"id":"https://openalex.org/C2777726979","wikidata":"https://www.wikidata.org/wiki/Q582271","display_name":"Noetherian ring","level":3,"score":0.38989999890327454},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.38040000200271606},{"id":"https://openalex.org/C68965932","wikidata":"https://www.wikidata.org/wiki/Q7169369","display_name":"Permutation graph","level":3,"score":0.34130001068115234},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.32269999384880066},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.3188999891281128},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3183000087738037},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.313400000333786},{"id":"https://openalex.org/C77670614","wikidata":"https://www.wikidata.org/wiki/Q212130","display_name":"Cyclic permutation","level":3,"score":0.3003000020980835},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.28209999203681946},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.26339998841285706}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1112/plms.70151","doi":"https://doi.org/10.1112/plms.70151","is_oa":false,"landing_page_url":"https://doi.org/10.1112/plms.70151","pdf_url":null,"source":{"id":"https://openalex.org/S2898222998","display_name":"Proceedings of the London Mathematical Society","issn_l":"0024-6115","issn":["0024-6115","1460-244X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-3","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the London Mathematical Society","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7728051171","display_name":"PostDoctoral Research Fellowship","funder_award_id":"2001992","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8927592021","display_name":"Topics in infinite dimensional algebra","funder_award_id":"2301871","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W417925666","https://openalex.org/W1488630354","https://openalex.org/W1516856304","https://openalex.org/W1592163810","https://openalex.org/W2045784321","https://openalex.org/W2058971493","https://openalex.org/W2063765066","https://openalex.org/W2109164517","https://openalex.org/W2118870114","https://openalex.org/W2134324284","https://openalex.org/W2163841074","https://openalex.org/W2287195337","https://openalex.org/W2461620942","https://openalex.org/W2611508424","https://openalex.org/W2765138756","https://openalex.org/W2806487798","https://openalex.org/W2889770543","https://openalex.org/W2963495298","https://openalex.org/W2976896995","https://openalex.org/W2978252716","https://openalex.org/W3101713268","https://openalex.org/W3164665432","https://openalex.org/W3179869510","https://openalex.org/W4250654443","https://openalex.org/W4304842645","https://openalex.org/W4392501394","https://openalex.org/W4404370800"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"A":[1],"symmetric":[2],"chain":[3],"of":[4,27,59,69],"ideals":[5],"is":[6,24],"a":[7,39,56,87,91,113],"rule":[8],"that":[9,22],"assigns":[10],"to":[11,55,125],"each":[12],"finite":[13,28,73],"set":[14],"an":[15,25,118],"ideal":[16],"in":[17,51,127],"the":[18,31],"polynomial":[19,121],"ring":[20],"such":[21,44,82,130],"if":[23],"embedding":[26],"sets":[29,74],"then":[30],"induced":[32],"homomorphism":[33],"maps":[34],"into":[35],".":[36],"Cohen":[37],"proved":[38],"fundamental":[40],"noetherian":[41],"result":[42],"for":[43,90,108],"chains,":[45],"which":[46],"has":[47],"seen":[48],"intense":[49],"interest":[50],"recent":[52],"years":[53],"due":[54],"wide":[57],"array":[58],"new":[60],"applications.":[61],"In":[62],"this":[63],"paper,":[64],"we":[65],"consider":[66],"similar":[67,106],"chains":[68],"ideals,":[70],"but":[71],"where":[72,99,112],"are":[75],"replaced":[76],"by":[77],"more":[78],"complicated":[79],"combinatorial":[80],"objects,":[81],"as":[83,131],"trees.":[84],"We":[85,103],"give":[86,95],"general":[88],"criterion":[89,101],"Cohen\u2010like":[92],"theorem,":[93],"and":[94,134],"several":[96],"specific":[97],"examples":[98],"our":[100],"holds.":[102],"also":[104],"prove":[105],"results":[107],"certain":[109],"limiting":[110],"situations,":[111],"permutation":[114],"group":[115],"acts":[116],"on":[117],"infinite":[119],"variable":[120],"ring.":[122],"This":[123],"connects":[124],"topics":[126],"model":[128],"theory,":[129],"Fra\u00efss\u00e9":[132],"limits":[133],"oligomorphic":[135],"groups.":[136]},"counts_by_year":[],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2026-04-14T00:00:00"}