{"id":"https://openalex.org/W2133965175","doi":"https://doi.org/10.2178/jsl/1102022218","title":"Some model theory of sheaves of modules","display_name":"Some model theory of sheaves of modules","publication_year":2004,"publication_date":"2004-12-01","ids":{"openalex":"https://openalex.org/W2133965175","doi":"https://doi.org/10.2178/jsl/1102022218","mag":"2133965175"},"language":"en","primary_location":{"id":"doi:10.2178/jsl/1102022218","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022218","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5012013257","display_name":"Mike Prest","orcid":"https://orcid.org/0000-0002-8723-623X"},"institutions":[{"id":"https://openalex.org/I28407311","display_name":"University of Manchester","ror":"https://ror.org/027m9bs27","country_code":"GB","type":"education","lineage":["https://openalex.org/I28407311"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mike Prest","raw_affiliation_strings":["Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK, E-mail:","Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK, E-mail: mprest@maths.man.ac.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK, E-mail:","institution_ids":["https://openalex.org/I28407311"]},{"raw_affiliation_string":"Department of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, UK, E-mail: mprest@maths.man.ac.uk","institution_ids":["https://openalex.org/I28407311"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011843462","display_name":"Vera Puninskaya","orcid":null},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Vera Puninskaya","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e1 di Camerino, Via Madonna Delle Carceri, I-62032 Camerino, Italy, E-mail:","Dipartimento di Matematica e Informatica, Universit\u00e1 di Camerino, Via Madonna Delle Carceri, I-62032 Camerino, Italy, E-mail: vera.puninskaya@unicam.it"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e1 di Camerino, Via Madonna Delle Carceri, I-62032 Camerino, Italy, E-mail:","institution_ids":["https://openalex.org/I112859197"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e1 di Camerino, Via Madonna Delle Carceri, I-62032 Camerino, Italy, E-mail: vera.puninskaya@unicam.it","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060847940","display_name":"Alexandra Ralph","orcid":null},"institutions":[{"id":"https://openalex.org/I137596753","display_name":"Eaton (Taiwan)","ror":"https://ror.org/01v23xq73","country_code":"TW","type":"company","lineage":["https://openalex.org/I137596753","https://openalex.org/I4210139942"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Alexandra Ralph","raw_affiliation_strings":["3 Seaford Avenue, Wollaton, Nottingham, NG9 ILA, UK, E-mail:","Seaford Avenue, Wollaton, Nottingham, NG9 ILA, UK, E-mail: alexandra.ralph@alexandraralph.demon.co.uk"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"3 Seaford Avenue, Wollaton, Nottingham, NG9 ILA, UK, E-mail:","institution_ids":["https://openalex.org/I137596753"]},{"raw_affiliation_string":"Seaford Avenue, Wollaton, Nottingham, NG9 ILA, UK, E-mail: alexandra.ralph@alexandraralph.demon.co.uk","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.19781683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"69","issue":"4","first_page":"1187","last_page":"1199"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9958000183105469,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.8196645975112915},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.8109473586082458},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.6101415753364563},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5813613533973694},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.521547794342041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41433316469192505},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34787002205848694},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24782350659370422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.21355170011520386},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.04871007800102234}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8196645975112915},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.8109473586082458},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.6101415753364563},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5813613533973694},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.521547794342041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41433316469192505},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34787002205848694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24782350659370422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.21355170011520386},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.04871007800102234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.2178/jsl/1102022218","is_oa":false,"landing_page_url":"https://doi.org/10.2178/jsl/1102022218","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:eprints.maths.manchester.ac.uk.MIMS.EPrints:282","is_oa":false,"landing_page_url":"http://eprints.maths.manchester.ac.uk/282/1/modthshf.pdf","pdf_url":"http://eprints.maths.manchester.ac.uk/282/1/modthshf.pdf","source":{"id":"https://openalex.org/S4306400452","display_name":"MIMS EPrints (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.163.7752","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.7752","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.ma.man.ac.uk/282/01/covered/MIMS_ep2006_111.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.696.6610","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.696.6610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprints.ma.man.ac.uk/282/01/modthshf.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1102022218","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1102022218","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W346141220","https://openalex.org/W935449682","https://openalex.org/W1537260518","https://openalex.org/W1577003333","https://openalex.org/W1595870841","https://openalex.org/W1599962140","https://openalex.org/W2036312507","https://openalex.org/W2071476325","https://openalex.org/W2283058393","https://openalex.org/W2481593308","https://openalex.org/W2482122046","https://openalex.org/W2493333586","https://openalex.org/W2614930862","https://openalex.org/W4246612696","https://openalex.org/W6668342816"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W3204670144","https://openalex.org/W1988934358","https://openalex.org/W2163101548","https://openalex.org/W2587222766","https://openalex.org/W4387718369","https://openalex.org/W3014450817","https://openalex.org/W1547366466","https://openalex.org/W1612268863"],"abstract_inverted_index":{"Abstract.":[0],"We":[1,62],"explore":[2],"some":[3,25],"topics":[4],"in":[5,59],"the":[6,16,46,67],"model":[7,52],"theory":[8,53],"of":[9,11,27,48,75],"sheaves":[10,28],"modules.":[12],"First":[13],"we":[14,20,23,44],"describe":[15],"formal":[17],"language":[18],"that":[19],"use.":[21],"Then":[22,43],"present":[24],"examples":[26],"obtained":[29],"from":[30,51],"quivers.":[31],"These,":[32],"and":[33,40,72],"other":[34],"examples,":[35],"will":[36],"serve":[37],"as":[38,41],"illustrations":[39],"counterexamples.":[42],"investigate":[45],"notion":[47],"strong":[49],"minimality":[50],"to":[54,78],"see":[55],"what":[56],"it":[57],"means":[58],"this":[60],"context.":[61],"also":[63],"look":[64],"briefly":[65],"at":[66],"relation":[68],"between":[69],"global,":[70],"local":[71],"pointwise":[73],"versions":[74],"properties":[76],"related":[77],"acyclicity.":[79]},"counts_by_year":[{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}