{"id":"https://openalex.org/W2200757872","doi":"https://doi.org/10.1017/s0960129515000444","title":"Resource convertibility and ordered commutative monoids","display_name":"Resource convertibility and ordered commutative monoids","publication_year":2015,"publication_date":"2015-10-12","ids":{"openalex":"https://openalex.org/W2200757872","doi":"https://doi.org/10.1017/s0960129515000444","mag":"2200757872"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129515000444","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129515000444","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C0D57AE7683BAA911F3F270ABD82A4E9/S0960129515000444a.pdf/div-class-title-resource-convertibility-and-ordered-commutative-monoids-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C0D57AE7683BAA911F3F270ABD82A4E9/S0960129515000444a.pdf/div-class-title-resource-convertibility-and-ordered-commutative-monoids-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"TOBIAS FRITZ","orcid":null},"institutions":[{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"TOBIAS FRITZ","raw_affiliation_strings":["Perimeter Institute for Theoretical Physics, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada Email:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, 31 Caroline St N, Waterloo, ON N2L 2Y5, Canada Email:","institution_ids":["https://openalex.org/I183974707"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I183974707"],"apc_list":null,"apc_paid":null,"fwci":3.3524,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.91495409,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"27","issue":"6","first_page":"850","last_page":"938"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.08760000020265579,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13297","display_name":"History and advancements in chemistry","score":0.08760000020265579,"subfield":{"id":"https://openalex.org/subfields/1606","display_name":"Physical and Theoretical Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.07540000230073929,"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/T11445","display_name":"Origins and Evolution of Life","score":0.06689999997615814,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/convertibility","display_name":"Convertibility","score":0.7110000252723694},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6866000294685364},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5820000171661377},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.5209000110626221},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4618000090122223},{"id":"https://openalex.org/keywords/substitution","display_name":"Substitution (logic)","score":0.4562999904155731},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4458000063896179},{"id":"https://openalex.org/keywords/algebraic-geometry","display_name":"Algebraic geometry","score":0.3749000132083893}],"concepts":[{"id":"https://openalex.org/C2776034426","wikidata":"https://www.wikidata.org/wiki/Q397840","display_name":"Convertibility","level":3,"score":0.7110000252723694},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6866000294685364},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5820000171661377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.566100001335144},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.5209000110626221},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4618000090122223},{"id":"https://openalex.org/C2778220771","wikidata":"https://www.wikidata.org/wiki/Q1522579","display_name":"Substitution (logic)","level":2,"score":0.4562999904155731},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4458000063896179},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43709999322891235},{"id":"https://openalex.org/C68363185","wikidata":"https://www.wikidata.org/wiki/Q180969","display_name":"Algebraic geometry","level":2,"score":0.3749000132083893},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C206345919","wikidata":"https://www.wikidata.org/wiki/Q20380951","display_name":"Resource (disambiguation)","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.31369999051094055},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.31189998984336853},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.29280000925064087},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.28220000863075256},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2718000113964081},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0960129515000444","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129515000444","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C0D57AE7683BAA911F3F270ABD82A4E9/S0960129515000444a.pdf/div-class-title-resource-convertibility-and-ordered-commutative-monoids-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1504.03661","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1504.03661","pdf_url":"https://arxiv.org/pdf/1504.03661","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"doi:10.1017/s0960129515000444","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0960129515000444","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/C0D57AE7683BAA911F3F270ABD82A4E9/S0960129515000444a.pdf/div-class-title-resource-convertibility-and-ordered-commutative-monoids-div.pdf","source":{"id":"https://openalex.org/S101766102","display_name":"Mathematical Structures in Computer Science","issn_l":"0960-1295","issn":["0960-1295","1469-8072"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Structures in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2200757872.pdf","grobid_xml":"https://content.openalex.org/works/W2200757872.grobid-xml"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W56293099","https://openalex.org/W133498531","https://openalex.org/W189715775","https://openalex.org/W421277303","https://openalex.org/W562933202","https://openalex.org/W629265671","https://openalex.org/W782558809","https://openalex.org/W1535618617","https://openalex.org/W1548134571","https://openalex.org/W1580981762","https://openalex.org/W1649877900","https://openalex.org/W1930481778","https://openalex.org/W1950884227","https://openalex.org/W1973199140","https://openalex.org/W1987403959","https://openalex.org/W1987585620","https://openalex.org/W1998369230","https://openalex.org/W2002923615","https://openalex.org/W2006991014","https://openalex.org/W2007892658","https://openalex.org/W2029705873","https://openalex.org/W2033720918","https://openalex.org/W2033909248","https://openalex.org/W2043865211","https://openalex.org/W2044987315","https://openalex.org/W2048340099","https://openalex.org/W2062258079","https://openalex.org/W2078289947","https://openalex.org/W2078962727","https://openalex.org/W2081131889","https://openalex.org/W2084575582","https://openalex.org/W2091471398","https://openalex.org/W2093352397","https://openalex.org/W2102357532","https://openalex.org/W2118213888","https://openalex.org/W2126988555","https://openalex.org/W2127688694","https://openalex.org/W2128261248","https://openalex.org/W2139964340","https://openalex.org/W2141140927","https://openalex.org/W2143658255","https://openalex.org/W2146720213","https://openalex.org/W2150562568","https://openalex.org/W2153598200","https://openalex.org/W2154803134","https://openalex.org/W2158968719","https://openalex.org/W2161339715","https://openalex.org/W2164684058","https://openalex.org/W2165357744","https://openalex.org/W2266670540","https://openalex.org/W2281702696","https://openalex.org/W2742496880","https://openalex.org/W2911865844","https://openalex.org/W2993383518","https://openalex.org/W3037572892","https://openalex.org/W3037737784","https://openalex.org/W3103182327","https://openalex.org/W4205373660","https://openalex.org/W4213419297","https://openalex.org/W4229765860","https://openalex.org/W4233669187","https://openalex.org/W4237442181","https://openalex.org/W4241475362","https://openalex.org/W4242408290","https://openalex.org/W4249474134","https://openalex.org/W6630300789","https://openalex.org/W6630384586","https://openalex.org/W6631935638","https://openalex.org/W6784925586"],"related_works":[],"abstract_inverted_index":{"Resources":[0],"and":[1,4,17,80,122,135,138,198,217,222,228,281],"their":[2],"use":[3],"consumption":[5],"form":[6],"a":[7,45,64,118,123,140,154,161,224,250],"central":[8],"part":[9],"of":[10,15,24,44,53,71,75,83,92,142,158,171,188,210,214,223,226,233,244],"our":[11,181,203,238,286],"life.":[12],"Many":[13],"branches":[14],"science":[16],"engineering":[18],"are":[19,114,169,278],"concerned":[20,115],"with":[21,117,183],"the":[22,42,81,90,176,184,211,231,262],"question":[23],"which":[25,33,144,253,261],"given":[26],"resource":[27,35,150],"objects":[28],"can":[29,246],"be":[30,247],"converted":[31],"into":[32,50,77],"target":[34],"objects.":[36],"For":[37,271],"example,":[38,99,272],"information":[39,60],"theory":[40,221],"studies":[41],"conversion":[43],"noisy":[46],"communication":[47],"channel":[48],"instance":[49],"an":[51,97,133,268],"exchange":[52],"information.":[54],"Inspired":[55],"by":[56,89,267],"work":[57],"in":[58,219,249,252,260,285],"quantum":[59],"theory,":[61,202],"we":[62,100,179],"develop":[63],"general":[65],"mathematical":[66,173],"toolbox":[67],"for":[68,156],"this":[69],"type":[70],"question.":[72],"The":[73],"convertibility":[74,119],"resources":[76,85],"other":[78],"ones":[79],"possibility":[82],"combining":[84],"is":[86,240,255,265],"accurately":[87],"captured":[88],"mathematics":[91],"ordered":[93,129,166,185,287],"commutative":[94,130,167,186],"monoids.":[95],"As":[96,160],"intuitive":[98],"consider":[101],"chemistry,":[102],"where":[103],"chemical":[104],"reaction":[105],"equations":[106],"such":[107,152],"as":[108,153],"\\mathrm{2H_2":[109],"+":[110],"O_2}":[111],"\\lra":[112],"\\mathrm{2H_2O,}":[113],"both":[116,194],"relation":[120,264],"\u2018\u2192\u2019":[121],"combination":[124],"operation":[125],"\u2018+.\u2019":[126],"We":[127],"study":[128],"monoids":[131,168],"from":[132],"algebraic":[134],"functional-analytic":[136],"perspective":[137],"derive":[139],"wealth":[141],"results":[143,182,207],"should":[145],"have":[146],"applications":[147],"to":[148,193,199],"concrete":[149],"theories,":[151],"formula":[155],"rates":[157],"conversion.":[159],"running":[162],"example":[163],"showing":[164],"that":[165,241],"also":[170,205],"purely":[172],"interest":[174],"without":[175],"resource-theoretic":[177],"interpretation,":[178],"exemplify":[180],"monoid":[187],"graphs.":[189],"While":[190],"closely":[191],"related":[192],"Girard's":[195],"linear":[196],"logic":[197],"Deutsch's":[200],"constructor":[201],"framework":[204],"produces":[206],"very":[208,282],"reminiscent":[209],"utility":[212],"theorem":[213,225],"von":[215],"Neumann":[216],"Morgenstern":[218],"decision":[220],"Lieb":[227],"Yngvason":[229],"on":[230],"foundations":[232],"thermodynamics.":[234],"Concerning":[235],"pure":[236],"algebra,":[237],"observation":[239],"some":[242],"pieces":[243],"algebra":[245],"developed":[248],"context":[251],"equality":[254,263],"not":[256],"necessarily":[257],"symmetric,":[258],"i.e.":[259],"replaced":[266],"ordering":[269],"relation.":[270],"notions":[273],"like":[274],"cancellativity":[275],"or":[276],"torsion-freeness":[277],"still":[279],"sensible":[280],"natural":[283],"concepts":[284],"setting.":[288]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2016-06-24T00:00:00"}