{"id":"https://openalex.org/W1877723080","doi":"https://doi.org/10.1109/ismvl.2004.1319926","title":"On partial clones containing maximal clones","display_name":"On partial clones containing maximal clones","publication_year":2004,"publication_date":"2004-09-28","ids":{"openalex":"https://openalex.org/W1877723080","doi":"https://doi.org/10.1109/ismvl.2004.1319926","mag":"1877723080"},"language":"en","primary_location":{"id":"doi:10.1109/ismvl.2004.1319926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2004.1319926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","raw_type":"proceedings-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/A5006700188","display_name":"Lucien Haddad","orcid":null},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"L. Haddad","raw_affiliation_strings":["Math\u00e9matiques et informatique, Coll\u00e9ge militaire royal du Canada, Kingston, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Math\u00e9matiques et informatique, Coll\u00e9ge militaire royal du Canada, Kingston, ONT, Canada","institution_ids":["https://openalex.org/I51768193"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062833279","display_name":"Dietlinde Lau","orcid":null},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"D. Lau","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Rostock, Rostock, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Rostock, Rostock, Germany","institution_ids":["https://openalex.org/I4665924"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006700188"],"corresponding_institution_ids":["https://openalex.org/I51768193"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09013353,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":null,"first_page":"96","last_page":"101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9980999827384949,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9980999827384949,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9970999956130981,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9939000010490417,"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/singleton","display_name":"Singleton","score":0.8578315377235413},{"id":"https://openalex.org/keywords/clone","display_name":"clone (Java method)","score":0.8081823587417603},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7808487415313721},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7116849422454834},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5968047380447388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5965554714202881},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5355719327926636},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42773377895355225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4221412241458893},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.26682138442993164},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24942493438720703},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.23793458938598633},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19802823662757874},{"id":"https://openalex.org/keywords/gene","display_name":"Gene","score":0.0900924801826477},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.05505242943763733}],"concepts":[{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.8578315377235413},{"id":"https://openalex.org/C81089528","wikidata":"https://www.wikidata.org/wiki/Q5134986","display_name":"clone (Java method)","level":3,"score":0.8081823587417603},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7808487415313721},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7116849422454834},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5968047380447388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5965554714202881},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5355719327926636},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42773377895355225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4221412241458893},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.26682138442993164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24942493438720703},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.23793458938598633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19802823662757874},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0900924801826477},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.05505242943763733},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"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:10.1109/ismvl.2004.1319926","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2004.1319926","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings. 34th International Symposium on Multiple-Valued Logic","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1915830084","https://openalex.org/W2051562247","https://openalex.org/W2111161140","https://openalex.org/W2168678076","https://openalex.org/W2703636057","https://openalex.org/W6676577679"],"related_works":["https://openalex.org/W747331120","https://openalex.org/W2351588585","https://openalex.org/W4233660055","https://openalex.org/W2076370897","https://openalex.org/W2906951486","https://openalex.org/W3125437892","https://openalex.org/W2224172171","https://openalex.org/W1965730239","https://openalex.org/W2141060200","https://openalex.org/W2055384243"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2,9,57,62],"this":[3],"note":[4],"is":[5,35,52],"to":[6],"present":[7],"some":[8],"our":[10],"recent":[11],"results":[12],"on":[13,31,45,60],"clones":[14,59],"and":[15,25],"partial":[16,58],"clones.":[17],"Let":[18],"A":[19,61],"be":[20,27],"a":[21,28,38,55],"non-singleton":[22],"finite":[23],"set":[24],"M":[26,34,51],"maximal":[29],"clone":[30],"A.":[32],"If":[33],"determined":[36],"by":[37],"prime":[39],"affine":[40],"or":[41],"an":[42],"h-universal":[43],"relation":[44],"A,":[46],"then":[47],"we":[48],"show":[49],"that":[50],"contained":[53],"in":[54],"family":[56],"continuum":[63],"cardinality.":[64]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}