{"id":"https://openalex.org/W2329872668","doi":"https://doi.org/10.1093/jigpal/jzi020","title":"Amalgamation Theorems in Algebraic Logic, an overview","display_name":"Amalgamation Theorems in Algebraic Logic, an overview","publication_year":2005,"publication_date":"2005-05-01","ids":{"openalex":"https://openalex.org/W2329872668","doi":"https://doi.org/10.1093/jigpal/jzi020","mag":"2329872668"},"language":"en","primary_location":{"id":"doi:10.1093/jigpal/jzi020","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzi020","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","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/A5023742065","display_name":"Tarek Sayed-Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Tarek Sayed-Ahmed","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023742065"],"corresponding_institution_ids":["https://openalex.org/I145487455"],"apc_list":{"value":4533,"currency":"USD","value_usd":4533},"apc_paid":null,"fwci":0.5049,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79913187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"3","first_page":"277","last_page":"286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9959999918937683,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9959999918937683,"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":0.9929999709129333,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9811999797821045,"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/algebraic-logic","display_name":"Algebraic logic","score":0.6637934446334839},{"id":"https://openalex.org/keywords/ultraproduct","display_name":"Ultraproduct","score":0.6364281177520752},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5720383524894714},{"id":"https://openalex.org/keywords/modal-logic","display_name":"Modal logic","score":0.5451237559318542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5441575646400452},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5243104696273804},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.48520901799201965},{"id":"https://openalex.org/keywords/dynamic-logic","display_name":"Dynamic logic (digital electronics)","score":0.43537187576293945},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.4265501797199249},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37122970819473267},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.3529950678348541},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.298647940158844},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24977752566337585}],"concepts":[{"id":"https://openalex.org/C86523455","wikidata":"https://www.wikidata.org/wiki/Q1005222","display_name":"Algebraic logic","level":3,"score":0.6637934446334839},{"id":"https://openalex.org/C167930466","wikidata":"https://www.wikidata.org/wiki/Q1535225","display_name":"Ultraproduct","level":2,"score":0.6364281177520752},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5720383524894714},{"id":"https://openalex.org/C27508121","wikidata":"https://www.wikidata.org/wiki/Q210841","display_name":"Modal logic","level":3,"score":0.5451237559318542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5441575646400452},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5243104696273804},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.48520901799201965},{"id":"https://openalex.org/C2777796570","wikidata":"https://www.wikidata.org/wiki/Q2351326","display_name":"Dynamic logic (digital electronics)","level":4,"score":0.43537187576293945},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.4265501797199249},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37122970819473267},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.3529950678348541},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.298647940158844},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24977752566337585},{"id":"https://openalex.org/C172385210","wikidata":"https://www.wikidata.org/wiki/Q5339","display_name":"Transistor","level":3,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/jigpal/jzi020","is_oa":false,"landing_page_url":"https://doi.org/10.1093/jigpal/jzi020","pdf_url":null,"source":{"id":"https://openalex.org/S2734381524","display_name":"Logic Journal of IGPL","issn_l":"1367-0751","issn":["1367-0751","1368-9894"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logic Journal of the IGPL","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2028144918","https://openalex.org/W3016746667","https://openalex.org/W1587059467","https://openalex.org/W4385444924","https://openalex.org/W4287814874","https://openalex.org/W2962420748","https://openalex.org/W3210547786","https://openalex.org/W4287121698","https://openalex.org/W3169550792","https://openalex.org/W1966415058"],"abstract_inverted_index":{"We":[0],"review,":[1],"and":[2,12,34,39,107],"in":[3,19,23,37,44,70,88],"the":[4,63,66,95],"process":[5],"unify":[6],"two":[7],"techniques":[8,55],"(due":[9],"to":[10],"N\u00e9meti":[11],"Pigozzi),":[13],"for":[14],"proving":[15,71],"results":[16,31,78,82],"concerning":[17],"amalgamation":[18],"several":[20],"classes":[21],"studied":[22],"algebraic":[24,40],"logic.":[25,41,109],"The":[26,81],"logical":[27],"counterpart":[28],"of":[29,62,65,83],"these":[30],"adress":[32],"interpolation":[33],"definability":[35],"properties":[36],"modal":[38,108],"Presenting":[42],"them":[43],"a":[45,90],"functorial":[46],"context":[47],"as":[48,60],"adjoint":[49],"situations,":[50],"we":[51],"show":[52],"that":[53,92],"both":[54],"can":[56],"indeed":[57],"be":[58],"seen":[59],"instances":[61],"use":[64],"Keisler-Shelah":[67],"ultrapower":[68],"Theorem":[69],"Robinson's":[72],"Joint":[73],"Consistency":[74],"Theorem.":[75],"Some":[76],"new":[77],"are":[79,86],"surveyed.":[80],"this":[84],"paper":[85],"presented":[87],"such":[89],"way":[91],"further":[93],"establishes":[94],"hitherto":[96],"existing":[97],"well":[98],"developed":[99],"duality":[100],"theory":[101],"between":[102],"boolean":[103],"algebras":[104],"with":[105],"operators":[106]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
