{"id":"https://openalex.org/W2058313567","doi":"https://doi.org/10.1109/ismvl.2014.35","title":"Countable Intervals of Partial Clones","display_name":"Countable Intervals of Partial Clones","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W2058313567","doi":"https://doi.org/10.1109/ismvl.2014.35","mag":"2058313567"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2014.35","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":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":[],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lucien Haddad","raw_affiliation_strings":["Dept. of Math. & Comput. Sci., R. Mil. Coll., Kingston, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Dept. of Math. & Comput. Sci., R. Mil. Coll., Kingston, ON, Canada","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016608014","display_name":"Karsten Sch\u00f6lzel","orcid":"https://orcid.org/0000-0003-4041-4219"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Karsten Scholzel","raw_affiliation_strings":["Math. Res. Unit, Univ. of Luxembourg, Luxembourg, Luxembourg"],"affiliations":[{"raw_affiliation_string":"Math. Res. Unit, Univ. of Luxembourg, Luxembourg, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.463,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":4,"citation_normalized_percentile":{"value":0.216286,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":79,"max":81},"biblio":{"volume":null,"issue":null,"first_page":"155","last_page":"160"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9955,"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"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9955,"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/T11567","display_name":"semigroups and automata theory","score":0.9841,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9795,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partial-function","display_name":"Partial function","score":0.51091117}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.9214932},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.69618225},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.63970727},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.571758},{"id":"https://openalex.org/C182359184","wikidata":"https://www.wikidata.org/wiki/Q1756942","display_name":"Partial function","level":2,"score":0.51091117},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45219406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44105506},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35588574},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28841582},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05224693}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/ismvl.2014.35","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":12,"referenced_works":["https://openalex.org/W1967473624","https://openalex.org/W1970601461","https://openalex.org/W1995554919","https://openalex.org/W2016286898","https://openalex.org/W2051562247","https://openalex.org/W2063818754","https://openalex.org/W2111161140","https://openalex.org/W2130647937","https://openalex.org/W2152810174","https://openalex.org/W2159340286","https://openalex.org/W2161335750","https://openalex.org/W2963646536"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4388145910","https://openalex.org/W4244805628","https://openalex.org/W4206367340","https://openalex.org/W2541640833","https://openalex.org/W2381570729","https://openalex.org/W2366107444","https://openalex.org/W2152953809","https://openalex.org/W2058313567","https://openalex.org/W1606946808"],"abstract_inverted_index":{"Let":[0],"k":[1],"\u2265":[2],"2":[3],"and":[4],"A":[5],"be":[6],"a":[7,37],"k-element":[8],"set.":[9],"We":[10],"construct":[11],"countably":[12,29],"infinite":[13,30],"unrefinable":[14],"chains":[15],"of":[16,28,32],"strong":[17,33],"partial":[18,34],"clones":[19,35],"on":[20,36],"A.":[21],"This":[22],"provides":[23],"the":[24],"first":[25],"known":[26],"examples":[27],"intervals":[31],"finite":[38],"set":[39],"with":[40],"at":[41],"least":[42],"two":[43],"elements.":[44]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2058313567","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2024-12-31T08:30:17.125552","created_date":"2016-06-24"}