{"id":"https://openalex.org/W1983565017","doi":"https://doi.org/10.1142/s0218196707003482","title":"REWRITING SYSTEMS AND ORDERINGS ON ARTIN MONOIDS","display_name":"REWRITING SYSTEMS AND ORDERINGS ON ARTIN MONOIDS","publication_year":2007,"publication_date":"2007-02-01","ids":{"openalex":"https://openalex.org/W1983565017","doi":"https://doi.org/10.1142/s0218196707003482","mag":"1983565017"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196707003482","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707003482","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/A5047955665","display_name":"Patrick Bahls","orcid":null},"institutions":[{"id":"https://openalex.org/I87097829","display_name":"University of North Carolina at Asheville","ror":"https://ror.org/017c6at71","country_code":"US","type":"education","lineage":["https://openalex.org/I87097829"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"PATRICK BAHLS","raw_affiliation_strings":["Department of Mathematics, University of North Carolina at Asheville, Asheville, NC 28804, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of North Carolina at Asheville, Asheville, NC 28804, USA","institution_ids":["https://openalex.org/I87097829"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044850173","display_name":"Tyler C. Smith","orcid":"https://orcid.org/0000-0002-4912-1554"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"TYLER SMITH","raw_affiliation_strings":["Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA","Department of Mathematics , Vanderbilt University , Nashville , TN 37240 , USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Vanderbilt University, Nashville, TN 37240, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Department of Mathematics , Vanderbilt University , Nashville , TN 37240 , USA","institution_ids":["https://openalex.org/I200719446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047955665"],"corresponding_institution_ids":["https://openalex.org/I87097829"],"apc_list":null,"apc_paid":null,"fwci":0.4455,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58230371,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"01","first_page":"61","last_page":"75"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9854999780654907,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9832000136375427,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/rewriting","display_name":"Rewriting","score":0.9555708169937134},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.855130672454834},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7826694250106812},{"id":"https://openalex.org/keywords/braid","display_name":"Braid","score":0.6871842741966248},{"id":"https://openalex.org/keywords/confluence","display_name":"Confluence","score":0.6098883748054504},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5753496885299683},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5475373268127441},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40336212515830994},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39457908272743225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14745229482650757},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09101977944374084},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.04623061418533325}],"concepts":[{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.9555708169937134},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.855130672454834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7826694250106812},{"id":"https://openalex.org/C124194741","wikidata":"https://www.wikidata.org/wiki/Q320809","display_name":"Braid","level":2,"score":0.6871842741966248},{"id":"https://openalex.org/C77906462","wikidata":"https://www.wikidata.org/wiki/Q1140902","display_name":"Confluence","level":2,"score":0.6098883748054504},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5753496885299683},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5475373268127441},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40336212515830994},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39457908272743225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14745229482650757},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09101977944374084},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.04623061418533325},{"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196707003482","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196707003482","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1920715889","https://openalex.org/W1972761586","https://openalex.org/W1989390084","https://openalex.org/W2007757392","https://openalex.org/W2020987748","https://openalex.org/W2026825318","https://openalex.org/W2041524410","https://openalex.org/W2058876853","https://openalex.org/W2070964129","https://openalex.org/W3106216040","https://openalex.org/W4206142531"],"related_works":["https://openalex.org/W1761458962","https://openalex.org/W2463026518","https://openalex.org/W4206221271","https://openalex.org/W1515515243","https://openalex.org/W1504820687","https://openalex.org/W3172487478","https://openalex.org/W2504157767","https://openalex.org/W2475418661","https://openalex.org/W2491573813","https://openalex.org/W1569493237"],"abstract_inverted_index":{"In":[0],"this":[1,60],"paper":[2],"we":[3,39,51],"introduce":[4],"a":[5,19,32],"complete":[6],"rewriting":[7,15,36],"system":[8,16],"on":[9,24],"any":[10],"large-type":[11,46],"Artin":[12],"monoid.":[13],"The":[14],"stems":[17],"from":[18],"well-ordering":[20],"defined":[21],"by":[22],"Burckel":[23],"the":[25,42,57],"related":[26],"class":[27],"of":[28,34,59],"braid":[29],"monoids.":[30],"As":[31],"consequence":[33],"our":[35],"system's":[37],"existence":[38],"will":[40,52],"recover":[41],"fact":[43],"that":[44],"certain":[45],"monoids":[47],"are":[48],"well-orderable,":[49],"and":[50],"discern":[53],"finer":[54],"detail":[55],"regarding":[56],"structure":[58],"associated":[61],"ordering.":[62]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
