{"id":"https://openalex.org/W2025149706","doi":"https://doi.org/10.1142/s0218196713500227","title":"EVOLUTION OF ALGEBRAIC TERMS 1: TERM TO TERM OPERATION CONTINUITY","display_name":"EVOLUTION OF ALGEBRAIC TERMS 1: TERM TO TERM OPERATION CONTINUITY","publication_year":2013,"publication_date":"2013-05-26","ids":{"openalex":"https://openalex.org/W2025149706","doi":"https://doi.org/10.1142/s0218196713500227","mag":"2025149706"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196713500227","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196713500227","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/A5103521557","display_name":"David M. Clark","orcid":"https://orcid.org/0009-0005-1828-2100"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"DAVID M. CLARK","raw_affiliation_strings":["Mathematics Department, State University of New York at New Paltz, FOB E1, New Paltz, New York 12561, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, State University of New York at New Paltz, FOB E1, New Paltz, New York 12561, USA","institution_ids":["https://openalex.org/I157455823"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5103521557"],"corresponding_institution_ids":["https://openalex.org/I157455823"],"apc_list":null,"apc_paid":null,"fwci":1.8301,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86743601,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"05","first_page":"1175","last_page":"1205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9521999955177307,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9521999955177307,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9441999793052673,"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/term","display_name":"Term (time)","score":0.887692928314209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8616190552711487},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6839258074760437},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6256024837493896},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5477461814880371},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40762537717819214},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30104610323905945},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1307828724384308},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07248663902282715}],"concepts":[{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.887692928314209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8616190552711487},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6839258074760437},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6256024837493896},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5477461814880371},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40762537717819214},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30104610323905945},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1307828724384308},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07248663902282715},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196713500227","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196713500227","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":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320577","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W1496687288","https://openalex.org/W1937640364","https://openalex.org/W1996257298","https://openalex.org/W2039892054","https://openalex.org/W2132832359"],"related_works":["https://openalex.org/W2046435967","https://openalex.org/W42295635","https://openalex.org/W1973996291","https://openalex.org/W4231775656","https://openalex.org/W2330575325","https://openalex.org/W4388747848","https://openalex.org/W2163803519","https://openalex.org/W2497592525","https://openalex.org/W3096145648","https://openalex.org/W4251748586"],"abstract_inverted_index":{"This":[0],"study":[1],"was":[2],"inspired":[3],"by":[4],"recent":[5],"successful":[6],"applications":[7],"of":[8,14],"evolutionary":[9],"computation":[10],"to":[11,17],"the":[12,39],"problem":[13],"finding":[15],"terms":[16],"represent":[18],"arbitrarily":[19],"given":[20],"operations":[21],"on":[22],"a":[23,32,45,54],"primal":[24,66],"groupoid.":[25],"Evolution":[26],"requires":[27],"that":[28,64],"small":[29,36],"changes":[30,37],"in":[31,35,38],"term":[33,41],"result":[34],"associated":[40],"operation.":[42],"We":[43],"prove":[44],"theorem":[46],"giving":[47],"two":[48],"readily":[49],"testable":[50],"conditions":[51],"under":[52],"which":[53],"groupoid":[55],"must":[56],"have":[57],"this":[58],"continuity":[59],"property,":[60],"and":[61],"offer":[62],"evidence":[63],"most":[65],"groupoids":[67],"satisfy":[68],"these":[69],"conditions.":[70]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}