{"id":"https://openalex.org/W2310044639","doi":"https://doi.org/10.1142/s0129054116500039","title":"Separability of <i>M</i>-Equivalent Words by Morphisms","display_name":"Separability of <i>M</i>-Equivalent Words by Morphisms","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2310044639","doi":"https://doi.org/10.1142/s0129054116500039","mag":"2310044639"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054116500039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116500039","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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 Foundations of Computer Science","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/A5016448403","display_name":"Wen Chean Teh","orcid":"https://orcid.org/0000-0001-8424-9820"},"institutions":[{"id":"https://openalex.org/I139322472","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63","country_code":"MY","type":"education","lineage":["https://openalex.org/I139322472"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Wen Chean Teh","raw_affiliation_strings":["School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Malaysia"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Malaysia","institution_ids":["https://openalex.org/I139322472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016448403"],"corresponding_institution_ids":["https://openalex.org/I139322472"],"apc_list":null,"apc_paid":null,"fwci":1.7424,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85438867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"27","issue":"01","first_page":"39","last_page":"52"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9972000122070312,"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/morphism","display_name":"Morphism","score":0.909229576587677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8006981015205383},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6971820592880249},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6371421217918396},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6112491488456726},{"id":"https://openalex.org/keywords/combinatorics-on-words","display_name":"Combinatorics on words","score":0.5647647976875305},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4456244707107544},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.43579599261283875},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4190337657928467},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.4148412048816681},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35137391090393066},{"id":"https://openalex.org/keywords/word","display_name":"Word (group theory)","score":0.2245381474494934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12832647562026978},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.069109708070755},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06448602676391602}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.909229576587677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8006981015205383},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6971820592880249},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6371421217918396},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6112491488456726},{"id":"https://openalex.org/C164804908","wikidata":"https://www.wikidata.org/wiki/Q2985058","display_name":"Combinatorics on words","level":3,"score":0.5647647976875305},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4456244707107544},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.43579599261283875},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4190337657928467},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.4148412048816681},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35137391090393066},{"id":"https://openalex.org/C90805587","wikidata":"https://www.wikidata.org/wiki/Q10944557","display_name":"Word (group theory)","level":2,"score":0.2245381474494934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12832647562026978},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.069109708070755},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06448602676391602},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054116500039","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054116500039","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"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 Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322757","display_name":"Universiti Sains Malaysia","ror":"https://ror.org/02rgb2k63"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1633296370","https://openalex.org/W1649845264","https://openalex.org/W1865253769","https://openalex.org/W1969800340","https://openalex.org/W1980267595","https://openalex.org/W1983964446","https://openalex.org/W1984680065","https://openalex.org/W2001640563","https://openalex.org/W2014342457","https://openalex.org/W2019511548","https://openalex.org/W2034072740","https://openalex.org/W2040264375","https://openalex.org/W2048376087","https://openalex.org/W2056749447","https://openalex.org/W2077220764","https://openalex.org/W2095541717","https://openalex.org/W2120680769","https://openalex.org/W2157390113","https://openalex.org/W2164646188","https://openalex.org/W2246424403","https://openalex.org/W2399175484","https://openalex.org/W2404492625","https://openalex.org/W2963672164","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W73622364","https://openalex.org/W2963534902","https://openalex.org/W2025348860","https://openalex.org/W2499765358","https://openalex.org/W2499949544","https://openalex.org/W2131864548","https://openalex.org/W4298870704","https://openalex.org/W4298247746","https://openalex.org/W1573009738","https://openalex.org/W2585385885"],"abstract_inverted_index":{"Two":[0],"words":[1,47,80,90],"are":[2,6],"M-equivalent":[3,46,79],"iff":[4],"they":[5],"indistinguishable":[7],"by":[8,33,41,48],"Parikh":[9,31,50],"matrices.":[10],"Even":[11],"for":[12],"the":[13,20,28,49,87,104],"ternary":[14],"alphabet,":[15],"an":[16],"incontestable":[17],"characterization":[18],"of":[19,30,52,63,76,89,106],"M-equivalence":[21],"relation":[22],"is":[23,69,74,91,101],"long":[24],"overdue,":[25],"ever":[26],"since":[27],"introduction":[29],"matrices":[32,51],"Mateescu":[34],"et":[35],"al.":[36],"in":[37,93],"2001.":[38],"Recent":[39],"works":[40],"Atanasiu":[42],"attempted":[43],"to":[44,103],"distinguish":[45],"their":[53],"images":[54],"under":[55],"some":[56],"morphism.":[57],"This":[58],"paper":[59],"addresses":[60],"various":[61],"aspects":[62],"this":[64],"approach.":[65],"In":[66],"particular,":[67],"it":[68],"shown":[70],"that":[71],"no":[72],"morphism":[73,97],"capable":[75],"completely":[77],"separating":[78],"over":[81],"a":[82],"given":[83],"alphabet.":[84],"However,":[85],"if":[86],"class":[88],"restricted":[92],"length,":[94],"then":[95],"such":[96],"exists,":[98],"whose":[99],"codomain":[100],"connected":[102],"notion":[105],"t-spectrum.":[107]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}