{"id":"https://openalex.org/W2031756781","doi":"https://doi.org/10.1305/ndjfl/1093883396","title":"Automorphisms of $\\omega$-cubes.","display_name":"Automorphisms of $\\omega$-cubes.","publication_year":1981,"publication_date":"1981-04-01","ids":{"openalex":"https://openalex.org/W2031756781","doi":"https://doi.org/10.1305/ndjfl/1093883396","mag":"2031756781"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1093883396","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883396","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-22/issue-2/Automorphisms-of-omega-cubes/10.1305/ndjfl/1093883396.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-22/issue-2/Automorphisms-of-omega-cubes/10.1305/ndjfl/1093883396.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069525779","display_name":"J. C. E. Dekker","orcid":"https://orcid.org/0009-0004-4808-7675"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"J. C. E. Dekker","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069525779"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.16226976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.982699990272522,"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":0.9559000134468079,"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/automorphism","display_name":"Automorphism","score":0.8517881631851196},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.8387285470962524},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49932336807250977},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3816063404083252},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3278465270996094},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.2713063657283783},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.13691800832748413}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.8517881631851196},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.8387285470962524},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49932336807250977},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3816063404083252},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3278465270996094},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2713063657283783},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.13691800832748413}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1305/ndjfl/1093883396","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883396","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-22/issue-2/Automorphisms-of-omega-cubes/10.1305/ndjfl/1093883396.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1093883396","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.ndjfl/1093883396","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":{"id":"doi:10.1305/ndjfl/1093883396","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1093883396","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-22/issue-2/Automorphisms-of-omega-cubes/10.1305/ndjfl/1093883396.pdf","source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2031756781.pdf","grobid_xml":"https://content.openalex.org/works/W2031756781.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1582492099","https://openalex.org/W1848103628","https://openalex.org/W2023232037","https://openalex.org/W2058925891","https://openalex.org/W6639026040","https://openalex.org/W6656232377","https://openalex.org/W6700234550"],"related_works":["https://openalex.org/W238609530","https://openalex.org/W2114124567","https://openalex.org/W1979597421","https://openalex.org/W2998724919","https://openalex.org/W161787318","https://openalex.org/W2007980826","https://openalex.org/W1997883919","https://openalex.org/W1968682565","https://openalex.org/W2091450008","https://openalex.org/W2886377156"],"abstract_inverted_index":{"The":[0,91,143,167],"word":[1],"set":[2,21,29],"is":[3,87,99,151,169,223,229],"used":[4],"for":[5,11,19,26,34,45,118,126,135,175,316],"a":[6,12,56,62,65,89,115,119,123,127,133,140,224,228,230,252,275,283,319],"collection":[7,13,39,84,144],"of":[8,14,22,30,37,48,52,58,67,85,95,139,145,156,179,191,239,285,325],"numbers,":[9,24,31],"class":[10,47,193],"sets.":[15],"We":[16,113],"write":[17,114],"e":[18],"the":[20,27,35,38,46,96,110,136,176,188,192,236,242],"all":[23,49,146,157],"o":[25,198,234,248],"empty":[28],"card":[32,216],"F":[33],"cardinality":[36],"F,":[40],"and":[41,76,80,132,141,173,181,199,296],"\"Pfi":[42],"n":[43,59,69,98,103,185,214],"{oL)":[44],"finite":[50,231],"subsets":[51],"a.":[53],"If":[54,227],"/is":[55],"function":[57,284],"variables,":[60],"i.e.,":[61,195,241],"mapping":[63],"from":[64],"subcollection":[66],"t":[68],"into":[70],"e,":[71,254],"we":[72],"denote":[73],"its":[74],"domain":[75],"range":[77],"by":[78,101,107,153,159],"5/":[79],"pf":[81],"respectively.":[82],"A":[83],"functions":[86],"called":[88],"family.":[90],"image":[92],"under":[93],"/":[94],"number":[97,244],"denoted":[100,152],"f":[102],"or":[104],"/(),":[105],"sometimes":[106],"both":[108],"in":[109],"same":[111],"context.":[112],"~":[116,272,276,280],"]3":[117,134],"equivalent":[120,129],"to":[121,130,171],"0,":[122],"^":[124],"(5":[125],"recursively":[128],"]3,":[131],"symmetric":[137],"difference":[138],"jS.":[142],"recursive":[147,225],"equivalence":[148],"types":[149],"(RETs)":[150],"2,":[154],"that":[155,247,270],"isols":[158],"A.":[160],"Moreover,":[161],"2":[162,165,290,307,330],"0":[163,277,295],"=":[164,215,249,257,262,265,289,294,310,329],"-(":[166],"reader":[168],"referred":[170],"[4]":[172],"[8]":[174],"basic":[177],"properties":[178],"RETs":[180],"isols.":[182],"Let":[183],"(p":[184],")":[186,301,312],"be":[187],"canonical":[189,237],"enumeration":[190],"^/^(&),":[194],"let":[196],"po^":[197],"|":[200],"(fl!,":[201],".":[202,203,207,208,303,304,305,321,322],".,<!*),":[204],"where":[205],"ai,":[206],".,":[209,323],"fl*":[210],"distinct.":[211],"Put":[212],"r":[213,221],"p":[217],"w":[218,222],",":[219,292],"then":[220],"function.":[226],"set,":[232],"can":[233],"denotes":[235],"index":[238],"a,":[240],"unique":[243],"i":[245],"such":[246],"p,-.":[250],"For":[251],"C":[253,267],"/ee,":[255],"[a;/]":[256],"\\x\\p":[258],"x":[259,261,335],"Ca&r":[260],"/},":[263],"2*":[264,279],"{xlp*":[266],"a}":[268],"so":[269],"a~0=*(V/)[[a;i]":[271],"[j3;":[273],"/]],":[274],"=>":[278],"2*.":[281],"If/is":[282],"one":[286],"variable,":[287],"6/*":[288],"df":[291],"/*(0)":[293],"y*(2":[297],"fl":[298,308],"(":[299],"1":[300],"+":[302,306,313,314],"^)":[309],"2^J":[311],"2-^^,":[315],"distinct":[317],"elements":[318],"u":[320],"%":[324],"6/":[326],"Equivalently,":[327],"5/*":[328],"6":[331],"/,p":[332],"r(x)":[333],"=/(p":[334],").":[336]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}