{"id":"https://openalex.org/W2016785115","doi":"https://doi.org/10.1155/2012/274783","title":"Pseudovaluations on WFI Algebras","display_name":"Pseudovaluations on WFI Algebras","publication_year":2011,"publication_date":"2011-12-15","ids":{"openalex":"https://openalex.org/W2016785115","doi":"https://doi.org/10.1155/2012/274783","mag":"2016785115"},"language":"en","primary_location":{"id":"doi:10.1155/2012/274783","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/274783","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/274783.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/274783.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089205317","display_name":"Young Bae Jun","orcid":"https://orcid.org/0000-0002-0181-8969"},"institutions":[{"id":"https://openalex.org/I28019184","display_name":"Chinju National University of Education","ror":"https://ror.org/042jsgw44","country_code":"KR","type":"education","lineage":["https://openalex.org/I28019184"]},{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young Bae Jun","raw_affiliation_strings":["Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea","institution_ids":["https://openalex.org/I28019184","https://openalex.org/I189442560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101580063","display_name":"Min Su Kang","orcid":"https://orcid.org/0000-0002-3034-6139"},"institutions":[{"id":"https://openalex.org/I4575257","display_name":"Hanyang University","ror":"https://ror.org/046865y68","country_code":"KR","type":"education","lineage":["https://openalex.org/I4575257"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Min Su Kang","raw_affiliation_strings":["Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea","institution_ids":["https://openalex.org/I4575257"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110153693","display_name":"Eun Hwan Roh","orcid":null},"institutions":[{"id":"https://openalex.org/I28019184","display_name":"Chinju National University of Education","ror":"https://ror.org/042jsgw44","country_code":"KR","type":"education","lineage":["https://openalex.org/I28019184"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Eun Hwan Roh","raw_affiliation_strings":["Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Republic of Korea","institution_ids":["https://openalex.org/I28019184"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101580063"],"corresponding_institution_ids":["https://openalex.org/I4575257"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09978054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"11"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9887999892234802,"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":0.9887999892234802,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9412999749183655,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9124000072479248,"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/mathematics","display_name":"Mathematics","score":0.7495952248573303},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5728842616081238},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46518296003341675},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44826117157936096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3416460156440735},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1552715003490448}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7495952248573303},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5728842616081238},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46518296003341675},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44826117157936096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3416460156440735},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1552715003490448}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2012/274783","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/274783","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/274783.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:274783","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/274783.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:e37292e7d9f3425b890cdd90f35b8ad9","is_oa":true,"landing_page_url":"https://doaj.org/article/e37292e7d9f3425b890cdd90f35b8ad9","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2012/274783","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/274783","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2012/274783","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2012/274783","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/274783.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2016785115.pdf","grobid_xml":"https://content.openalex.org/works/W2016785115.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W217981265","https://openalex.org/W1583417883","https://openalex.org/W2046833856","https://openalex.org/W2397035851","https://openalex.org/W3122471816","https://openalex.org/W3162961917"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"Using":[0],"Bu\u015fneag's":[1],"model,":[2],"the":[3,34],"notion":[4],"of":[5],"pseudovaluations":[6],"(valuations)":[7],"on":[8,22],"a":[9,15,20,26],"WFI":[10,23,38],"algebra":[11],"is":[12,17,40],"introduced,":[13],"and":[14],"pseudometric":[16],"induced":[18],"by":[19],"pseudovaluation":[21],"algebras.":[24],"Given":[25],"valuation":[27],"with":[28],"additional":[29],"condition,":[30],"we":[31],"show":[32],"that":[33],"binary":[35],"operation":[36],"in":[37],"algebras":[39],"uniformly":[41],"continuous.":[42]},"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}