{"id":"https://openalex.org/W2070964858","doi":"https://doi.org/10.1145/258726.258786","title":"Integral closure of Noetherian rings","display_name":"Integral closure of Noetherian rings","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2070964858","doi":"https://doi.org/10.1145/258726.258786","mag":"2070964858"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/258726.258786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109836248","display_name":"Patrizia Gianni","orcid":null},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patrizia Gianni","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy."],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Pisa, Italy.","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008523066","display_name":"Barry Trager","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Barry Trager","raw_affiliation_strings":["IBM Research, Yorktown Heights, NY"],"affiliations":[{"raw_affiliation_string":"IBM Research, Yorktown Heights, NY","institution_ids":["https://openalex.org/I1341412227"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.231,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":17,"citation_normalized_percentile":{"value":0.692308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":83,"max":84},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9999,"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":0.9999,"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":0.9996,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9987,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/closure","display_name":"Closure (psychology)","score":0.6838899}],"concepts":[{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.6838899},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.677369},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37645835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33159304},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.325543},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.24507234},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.057600528},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1145/258726.258786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://dl.acm.org/citation.cfm?doid=258726.258786","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258786","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":["University of Pisa"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"http://dl.acm.org/citation.cfm?doid=258726.258786","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258786","source":{"id":"https://openalex.org/S4377196265","display_name":"CINECA IRIS Institutial research information system (University of Pisa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I108290504","host_organization_name":"University of Pisa","host_organization_lineage":["https://openalex.org/I108290504"],"host_organization_lineage_names":["University of Pisa"],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":11,"referenced_works":["https://openalex.org/W1492687110","https://openalex.org/W1495357166","https://openalex.org/W1495410784","https://openalex.org/W1496801598","https://openalex.org/W1524660974","https://openalex.org/W1531470387","https://openalex.org/W1968093322","https://openalex.org/W1997381229","https://openalex.org/W2031399497","https://openalex.org/W2048061593","https://openalex.org/W2097003695"],"related_works":["https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2104060380","https://openalex.org/W2061531152","https://openalex.org/W2007980826","https://openalex.org/W2004779034","https://openalex.org/W1979597421","https://openalex.org/W1593219065"],"abstract_inverted_index":{"After":[0],"giving":[1],"a":[2,14,23],"proposition":[3],"which":[4,54],"reduces":[5],"the":[6,10,19,29,34,46,75],"problem":[7],"of":[8,13,33,49,60,74],"computing":[9],"integral":[11],"closure":[12],"general":[15],"noetherian":[16],"ring":[17],"to":[18,71],"three":[20],"problems:.":[21],"Compute":[22,31,39],"universal":[24],"denominator":[25],"d":[26],"(element":[27],"in":[28,69,77],"conductor)..":[30],"radical":[32],"ideal":[35,40],"generated":[36,57],"by":[37],"d..":[38],"quotients":[41],"we":[42,63],"show":[43],"that":[44],"for":[45],"common":[47],"case":[48],"affine":[50],"domains,":[51],"i.e.":[52],"domains":[53],"are":[55],"finitely":[56],"over":[58],"fields,":[59],"characteristic":[61],"zero,":[62],"can":[64,83],"use":[65],"an":[66],"effective":[67],"localization":[68],"order":[70],"perform":[72],"most":[73],"computation":[76],"one":[78],"dimensional":[79],"rings":[80],"where":[81],"it":[82],"be":[84],"done":[85],"with":[86],"linear":[87],"algebra.":[88]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2070964858","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2024-12-11T05:47:58.599500","created_date":"2016-06-24"}