{"id":"https://openalex.org/W4401825180","doi":"https://doi.org/10.1142/s0219061324500247","title":"Noetherian theories","display_name":"Noetherian theories","publication_year":2024,"publication_date":"2024-08-23","ids":{"openalex":"https://openalex.org/W4401825180","doi":"https://doi.org/10.1142/s0219061324500247"},"language":"en","primary_location":{"id":"doi:10.1142/s0219061324500247","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061324500247","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"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":"Journal of Mathematical Logic","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/A5070547280","display_name":"Amador Mart\u00edn-Pizarro","orcid":"https://orcid.org/0000-0001-7739-5096"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Amador Martin-Pizarro","raw_affiliation_strings":["Mathematisches Institut, Albert-Ludwigs-Universit\u00e4t Freiburg, D-79104 Freiburg, Germany"],"raw_orcid":"https://orcid.org/0000-0001-7739-5096","affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Albert-Ludwigs-Universit\u00e4t Freiburg, D-79104 Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101546631","display_name":"Martin Ziegler","orcid":"https://orcid.org/0000-0001-6734-7875"},"institutions":[{"id":"https://openalex.org/I161046081","display_name":"University of Freiburg","ror":"https://ror.org/0245cg223","country_code":"DE","type":"education","lineage":["https://openalex.org/I161046081"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Ziegler","raw_affiliation_strings":["Mathematisches Institut, Albert-Ludwigs-Universit\u00e4t Freiburg, D-79104 Freiburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Albert-Ludwigs-Universit\u00e4t Freiburg, D-79104 Freiburg, Germany","institution_ids":["https://openalex.org/I161046081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I161046081"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21500186,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"03","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.5314000248908997,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.5314000248908997,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.13490000367164612,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.10949999839067459,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/noetherian","display_name":"Noetherian","score":0.7718708515167236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7343282699584961},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4577218294143677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38708174228668213},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3857196569442749},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3221612274646759},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19512546062469482}],"concepts":[{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.7718708515167236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7343282699584961},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4577218294143677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38708174228668213},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3857196569442749},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3221612274646759},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19512546062469482}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0219061324500247","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0219061324500247","pdf_url":null,"source":{"id":"https://openalex.org/S29890666","display_name":"Journal of Mathematical Logic","issn_l":"0219-0613","issn":["0219-0613","1793-6691"],"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":"Journal of Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:freidok.uni-freiburg.de:261655","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/261655","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of mathematical logic. - 25, 03 (2025) , 2450024, ISSN: 0219-0613","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.6299999952316284}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1414078958","https://openalex.org/W1965414327","https://openalex.org/W1982438618","https://openalex.org/W1983063659","https://openalex.org/W1984531876","https://openalex.org/W1994531357","https://openalex.org/W2016927446","https://openalex.org/W2038008480","https://openalex.org/W2073422248","https://openalex.org/W2092229858","https://openalex.org/W2107348130","https://openalex.org/W2154686179","https://openalex.org/W2328908680","https://openalex.org/W2565228415","https://openalex.org/W2591147277","https://openalex.org/W3140292214"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2060681561","https://openalex.org/W2963791579","https://openalex.org/W2156141890","https://openalex.org/W4292450778","https://openalex.org/W2897764602","https://openalex.org/W4289401232","https://openalex.org/W2962936379","https://openalex.org/W2004779034","https://openalex.org/W1718701227"],"abstract_inverted_index":{"A":[0],"first-order":[1],"theory":[2,59],"is":[3,19,39,51],"Noetherian":[4],"with":[5,70],"respect":[6,71],"to":[7,72],"the":[8,32,40,55,58,73],"collection":[9,41],"of":[10,23,25,36,42,44,57,60,63,75,88],"formulae":[11,26,46,77],"[Formula:":[12,28,48],"see":[13,29,49],"text]":[14,30,50],"if":[15],"every":[16],"definable":[17],"set":[18],"a":[20,100],"Boolean":[21],"combination":[22],"instances":[24,43],"in":[27,47,67,80],"and":[31,83],"topology":[33],"whose":[34],"subbasis":[35],"closed":[37,65],"sets":[38],"arbitrary":[45],"Noetherian.":[52],"We":[53],"show":[54],"Noetherianity":[56],"proper":[61],"pairs":[62],"algebraically":[64],"fields":[66],"any":[68],"characteristic":[69],"family":[74],"tame":[76],"as":[78],"introduced":[79],"[A.":[81],"Martin-Pizarro":[82],"M.":[84],"Ziegler,":[85],"Equational":[86],"theories":[87],"fields,":[89],"J.":[90],"Symbolic":[91],"Logic":[92],"85":[93],"(2020)":[94],"828\u2013851,":[95],"https://arxiv.org/abs/1702.05735":[96],"],":[97],"thus":[98],"answering":[99],"question":[101],"which":[102],"was":[103],"left":[104],"open":[105],"there.":[106]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}