{"id":"https://openalex.org/W2116671922","doi":"https://doi.org/10.1142/s0218196712500555","title":"ON FREE SPECTRA OF VARIETIES OF LOCALLY THRESHOLD TESTABLE SEMIGROUPS","display_name":"ON FREE SPECTRA OF VARIETIES OF LOCALLY THRESHOLD TESTABLE SEMIGROUPS","publication_year":2012,"publication_date":"2012-06-14","ids":{"openalex":"https://openalex.org/W2116671922","doi":"https://doi.org/10.1142/s0218196712500555","mag":"2116671922"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196712500555","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500555","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5043260756","display_name":"Igor Dolinka","orcid":"https://orcid.org/0000-0002-8644-0626"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"IGOR DOLINKA","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21101 Novi Sad, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi\u0107a 4, 21101 Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043260756"],"corresponding_institution_ids":["https://openalex.org/I170726198"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15780347,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"06","first_page":"1250055","last_page":"1250055"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T11567","display_name":"semigroups and automata theory","score":1.0,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9990000128746033,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/mathematics","display_name":"Mathematics","score":0.9271037578582764},{"id":"https://openalex.org/keywords/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.8117328882217407},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.6498531699180603},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6027032136917114},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49498385190963745},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.4888157546520233},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.47914737462997437},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45972058176994324},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.4307805299758911},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.42307624220848083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.058781951665878296}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9271037578582764},{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.8117328882217407},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.6498531699180603},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6027032136917114},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49498385190963745},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.4888157546520233},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.47914737462997437},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45972058176994324},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.4307805299758911},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.42307624220848083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.058781951665878296},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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:10.1142/s0218196712500555","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196712500555","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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":13,"referenced_works":["https://openalex.org/W122974882","https://openalex.org/W1548164611","https://openalex.org/W1996460289","https://openalex.org/W2018394559","https://openalex.org/W2019338982","https://openalex.org/W2051586845","https://openalex.org/W2081443805","https://openalex.org/W2125842894","https://openalex.org/W2138773745","https://openalex.org/W3104869282","https://openalex.org/W4230007269","https://openalex.org/W4293176479","https://openalex.org/W6632699600"],"related_works":["https://openalex.org/W3198016531","https://openalex.org/W127787461","https://openalex.org/W2039773446","https://openalex.org/W2126473010","https://openalex.org/W2397939707","https://openalex.org/W2382005989","https://openalex.org/W2558656005","https://openalex.org/W2294690109","https://openalex.org/W4297910377","https://openalex.org/W2374488874"],"abstract_inverted_index":{"A":[0],"semigroup":[1],"S":[2],"is":[3,20],"said":[4],"to":[5,38,40],"be":[6],"\u2113-threshold":[7,42,63],"k-testable":[8,43,64],"if":[9],"it":[10],"satisfies":[11],"all":[12,62],"identities":[13],"u":[14],"=":[15],"v":[16,19],"where":[17],"u,":[18],"an":[21,48,68,76,91],"arbitrary":[22,77],"pair":[23],"of":[24,55,61,75,87,98],"words":[25],"over":[26],"a":[27],"finite":[28],"alphabet":[29],"\u03a3":[30],"such":[31],"that":[32],"they":[33],"simultaneously":[34],"belong":[35,39],"or":[36],"fail":[37],"any":[41],"(regular)":[44],"language.":[45],"We":[46],"give":[47],"asymptotic":[49,69],"formula":[50],"for":[51,94],"the":[52,56,73],"free":[53],"spectrum":[54],"variety":[57],"[Formula:":[58],"see":[59],"text]":[60],"semigroups,":[65],"thereby":[66],"providing":[67],"upper":[70],"bound":[71],"on":[72],"size":[74],"finitely":[78],"generated":[79],"locally":[80],"threshold":[81],"testable":[82],"semigroup.":[83],"The":[84],"combinatorial":[85],"interpretation":[86],"this":[88],"task":[89],"yields":[90],"enumeration":[92],"problem":[93],"particular":[95],"edge":[96],"labelings":[97],"de":[99],"Bruijn":[100],"graphs.":[101]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
