{"id":"https://openalex.org/W2134655589","doi":"https://doi.org/10.1017/s0960129511000326","title":"Dagger extension theorem","display_name":"Dagger extension theorem","publication_year":2011,"publication_date":"2011-08-22","ids":{"openalex":"https://openalex.org/W2134655589","doi":"https://doi.org/10.1017/s0960129511000326","mag":"2134655589"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129511000326","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129511000326","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"Mathematical Structures in Computer Science","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/A5017293831","display_name":"Zolt\u00e1n \u00c9sik","orcid":null},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Z. \u00c9SIK","raw_affiliation_strings":["Department of Computer Science, University of Szeged, Hungary Email:","University of Szeged"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Szeged, Hungary Email:","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"University of Szeged","institution_ids":["https://openalex.org/I227486990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050158086","display_name":"Tam\u00e1s Hajgat\u00f3","orcid":null},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"T. HAJGAT\u00d3","raw_affiliation_strings":["Department of Computer Science, University of Szeged, Hungary Email:","University of Szeged"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Szeged, Hungary Email:","institution_ids":["https://openalex.org/I227486990"]},{"raw_affiliation_string":"University of Szeged","institution_ids":["https://openalex.org/I227486990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I227486990"],"apc_list":null,"apc_paid":null,"fwci":0.8628,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.8093204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"21","issue":"5","first_page":"1035","last_page":"1066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9945999979972839,"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"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9945999979972839,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9591000080108643,"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/T10142","display_name":"Formal Methods in Verification","score":0.9575999975204468,"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/morphism","display_name":"Morphism","score":0.75621497631073},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6886013746261597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6865751147270203},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5039286017417908},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48837703466415405},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4848376512527466},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4226228594779968},{"id":"https://openalex.org/keywords/algebraic-theory","display_name":"Algebraic theory","score":0.41252368688583374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36699265241622925},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35666853189468384},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34638476371765137},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17709243297576904},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16329878568649292},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15617573261260986}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.75621497631073},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6886013746261597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6865751147270203},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5039286017417908},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48837703466415405},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4848376512527466},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4226228594779968},{"id":"https://openalex.org/C2779782106","wikidata":"https://www.wikidata.org/wiki/Q4724020","display_name":"Algebraic theory","level":3,"score":0.41252368688583374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36699265241622925},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35666853189468384},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34638476371765137},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17709243297576904},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16329878568649292},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15617573261260986},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129511000326","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129511000326","pdf_url":null,"source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"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":"Mathematical Structures in Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W78281073","https://openalex.org/W1482768571","https://openalex.org/W1564574237","https://openalex.org/W1572677512","https://openalex.org/W1748927325","https://openalex.org/W1894625314","https://openalex.org/W1969377914","https://openalex.org/W2006716320","https://openalex.org/W2029312575","https://openalex.org/W2043871010","https://openalex.org/W2083527366","https://openalex.org/W2088049948","https://openalex.org/W2091780332","https://openalex.org/W2107674601","https://openalex.org/W2112320167","https://openalex.org/W2143658255","https://openalex.org/W4206269206","https://openalex.org/W4212873186","https://openalex.org/W4232114544","https://openalex.org/W4236563753","https://openalex.org/W4285719527","https://openalex.org/W6633774027"],"related_works":["https://openalex.org/W1971240584","https://openalex.org/W1833301579","https://openalex.org/W2055765740","https://openalex.org/W2281329187","https://openalex.org/W4240813704","https://openalex.org/W1546171801","https://openalex.org/W2950010793","https://openalex.org/W2953265366","https://openalex.org/W1762827357","https://openalex.org/W1988863152"],"abstract_inverted_index":{"Partial":[0],"iterative":[1,43,67,101],"theories":[2,5,27,30,44,126],"are":[3,28],"algebraic":[4,29],"such":[6],"that":[7,58,78,88,98],"for":[8],"certain":[9,33],"morphisms":[10],"f":[11,16],"the":[12,59,79],"equation":[13],"\u03be":[14],"=":[15],"\u22c5":[17],"\u3008\u03be,":[18],"1":[19,109],"p":[20],"\u3009":[21],"has":[22],"a":[23,32,54,65,73],"unique":[24],"solution.":[25],"Iteration":[26],"satisfying":[31],"set":[34],"of":[35,64],"identities.":[36],"We":[37,86,119],"investigate":[38],"some":[39],"similarities":[40],"between":[41],"partial":[42,66],"and":[45],"iteration":[46,84,117],"theories.":[47],"In":[48],"our":[49,122],"main":[50,123],"result,":[51],"we":[52],"give":[53],"sufficient":[55],"condition":[56],"ensuring":[57],"partially":[60],"defined":[61,75],"dagger":[62],"operation":[63,76],"theory":[68,81,102],"can":[69,93,112],"be":[70,94,113],"extended":[71,114],"to":[72,96,115,125],"totally":[74],"so":[77],"resulting":[80],"becomes":[82],"an":[83,116,129],"theory.":[85,118],"show":[87],"this":[89],"general":[90],"extension":[91],"theorem":[92],"instantiated":[95],"prove":[97],"every":[99],"Elgot":[100],"with":[103,128],"at":[104],"least":[105],"one":[106],"constant":[107],"morphism":[108],"\u2192":[110],"0":[111],"also":[120],"apply":[121],"result":[124],"equipped":[127],"additive":[130],"structure.":[131]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}