{"id":"https://openalex.org/W4289793241","doi":"https://doi.org/10.1145/3531130.3532405","title":"Varieties of Quantitative Algebras and Their Monads","display_name":"Varieties of Quantitative Algebras and Their Monads","publication_year":2022,"publication_date":"2022-08-02","ids":{"openalex":"https://openalex.org/W4289793241","doi":"https://doi.org/10.1145/3531130.3532405"},"language":"en","primary_location":{"id":"doi:10.1145/3531130.3532405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531130.3532405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-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/A5038462111","display_name":"Ji\u0159\u0131\u0301 Ad\u00e1mek","orcid":"https://orcid.org/0000-0001-8562-1233"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Jiri Adamek","raw_affiliation_strings":["Czech Technical University Prague, Czech Republic and Technical University Braunschweig, Germany"],"affiliations":[{"raw_affiliation_string":"Czech Technical University Prague, Czech Republic and Technical University Braunschweig, Germany","institution_ids":["https://openalex.org/I44504214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038462111"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":1.2056,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.76982007,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9958000183105469,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9958000183105469,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9908999800682068,"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/monad","display_name":"Monad (category theory)","score":0.9541747570037842},{"id":"https://openalex.org/keywords/countable-set","display_name":"Countable set","score":0.6809853315353394},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6432828903198242},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.6111881732940674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5693361759185791},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44066786766052246},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.418578565120697},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.07732710242271423}],"concepts":[{"id":"https://openalex.org/C33959348","wikidata":"https://www.wikidata.org/wiki/Q1630568","display_name":"Monad (category theory)","level":3,"score":0.9541747570037842},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.6809853315353394},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6432828903198242},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.6111881732940674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5693361759185791},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44066786766052246},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.418578565120697},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.07732710242271423},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3531130.3532405","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3531130.3532405","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W583126019","https://openalex.org/W2273719480","https://openalex.org/W2574983198","https://openalex.org/W2964175206","https://openalex.org/W3033484071","https://openalex.org/W3215071638"],"related_works":["https://openalex.org/W2136017802","https://openalex.org/W2121711034","https://openalex.org/W1985684185","https://openalex.org/W1966007443","https://openalex.org/W1982456117","https://openalex.org/W1996580892","https://openalex.org/W1974935027","https://openalex.org/W1659447166","https://openalex.org/W2063019248","https://openalex.org/W4304952153"],"abstract_inverted_index":{"Quantitative":[0],"\u03a3-algebras,":[1],"where":[2,67],"\u03a3":[3],"is":[4,68],"a":[5,14,69],"signature":[6],"with":[7,13],"countable":[8],"arities,":[9],"are":[10,54,61],"\u03a3-algebras":[11],"equipped":[12],"metric":[15,77],"making":[16],"all":[17],"operations":[18],"nonexpanding.":[19],"They":[20],"have":[21],"been":[22],"studied":[23],"by":[24,47],"Mardare,":[25],"Panangaden":[26],"and":[27],"Plotkin":[28],"who":[29],"also":[30],"introduced":[31],"c-basic":[32],"quantitative":[33,41],"equations":[34,49],"for":[35,50],"regular":[36],"cardinals":[37],"c.":[38],"Categories":[39],"of":[40,76],"algebras":[42],"that":[43,59],"can":[44],"be":[45],"presented":[46],"such":[48],"c":[51],"=":[52],"\u21351":[53],"called":[55],"\u03c91-varieties.":[56],"We":[57],"prove":[58],"they":[60],"precisely":[62],"the":[63,74],"monadic":[64],"categories":[65],",":[66],"countably":[70],"basic":[71],"monad":[72],"on":[73],"category":[75],"spaces":[78]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}