{"id":"https://openalex.org/W2027534853","doi":"https://doi.org/10.1080/00207160310001597198","title":"Two classes of languages related to the prefix codes","display_name":"Two classes of languages related to the prefix codes","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2027534853","doi":"https://doi.org/10.1080/00207160310001597198","mag":"2027534853"},"language":"en","primary_location":{"id":"doi:10.1080/00207160310001597198","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160310001597198","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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":null,"display_name":"Zhang Ronghua","orcid":null},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhang Ronghua","raw_affiliation_strings":["a  Yunnan University,  Department of Mathematics  ,  Kunming ,  P.R. China ,  650091"],"affiliations":[{"raw_affiliation_string":"a  Yunnan University,  Department of Mathematics  ,  Kunming ,  P.R. China ,  650091","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090596990","display_name":"Cai Yanying","orcid":null},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cai Yanying","raw_affiliation_strings":["a  Yunnan University,  Department of Mathematics  ,  Kunming ,  P.R. China ,  650091"],"affiliations":[{"raw_affiliation_string":"a  Yunnan University,  Department of Mathematics  ,  Kunming ,  P.R. China ,  650091","institution_ids":["https://openalex.org/I189210763"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I189210763"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10345789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"81","issue":"1","first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994000196456909,"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/T10911","display_name":"Chemical Synthesis and Analysis","score":0.9768999814987183,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/prefix","display_name":"Prefix","score":0.8908870220184326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7593519687652588},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6779497861862183},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.5431434512138367},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.5326701402664185},{"id":"https://openalex.org/keywords/prefix-code","display_name":"Prefix code","score":0.490652471780777},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48842257261276245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37122613191604614},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3218826353549957},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2890629470348358},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15608155727386475},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.1474962830543518},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.13153886795043945},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.10404273867607117},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.0601080060005188}],"concepts":[{"id":"https://openalex.org/C141603448","wikidata":"https://www.wikidata.org/wiki/Q134830","display_name":"Prefix","level":2,"score":0.8908870220184326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7593519687652588},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6779497861862183},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5431434512138367},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.5326701402664185},{"id":"https://openalex.org/C20079647","wikidata":"https://www.wikidata.org/wiki/Q1278039","display_name":"Prefix code","level":5,"score":0.490652471780777},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48842257261276245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37122613191604614},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3218826353549957},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2890629470348358},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15608155727386475},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.1474962830543518},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.13153886795043945},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.10404273867607117},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0601080060005188},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160310001597198","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160310001597198","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1510695256","https://openalex.org/W1523480252","https://openalex.org/W2017974616"],"related_works":["https://openalex.org/W2094225155","https://openalex.org/W1650274465","https://openalex.org/W2952674952","https://openalex.org/W2566439177","https://openalex.org/W2023299357","https://openalex.org/W4244214420","https://openalex.org/W2385872287","https://openalex.org/W2136927376","https://openalex.org/W2374499972","https://openalex.org/W2252414143"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33,44],"generalize":[4],"some":[5],"properties":[6],"about":[7],"prefix":[8],"codes":[9],"in":[10,48],"Citation[1],":[11],"replacing":[12],"the":[13,15,21,39,46],"condition:":[14,22],"language":[16],"L":[17,23],"is":[18],"finite":[19],"with":[20],"satisfies":[24],"|\u222a":[25],"x\u2208\u03b7(L)":[26],"x":[27],"\u22121":[28],"L|":[29],"<":[30],"\u221e.":[31],"Then":[32],"give":[34,45],"another":[35],"equivalent":[36,66],"characterization":[37],"on":[38],"right":[40],"dense.":[41],"At":[42],"last,":[43],"element":[47],"an":[49,65],"ideal":[50],"K":[51],"=":[52,60],"{A":[53],"\u2208":[54],"M":[55],"|":[56],"AM":[57],"\u2229":[58],"P":[59],"\u2205}":[61],"of":[62],"\u27e8M,":[63],"\u00b7\u27e9":[64],"description.":[67]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}