{"id":"https://openalex.org/W2605376634","doi":"https://doi.org/10.1017/s0960129515000225","title":"On conditions for semirings to induce compact information algebras","display_name":"On conditions for semirings to induce compact information algebras","publication_year":2015,"publication_date":"2015-05-15","ids":{"openalex":"https://openalex.org/W2605376634","doi":"https://doi.org/10.1017/s0960129515000225","mag":"2605376634"},"language":"en","primary_location":{"id":"doi:10.1017/s0960129515000225","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000225","pdf_url":null,"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":["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/A5025528626","display_name":"Xuechong Guan","orcid":null},"institutions":[{"id":"https://openalex.org/I118574674","display_name":"Jiangsu Normal University","ror":"https://ror.org/051hvcm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I118574674"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"XUECHONG GUAN","raw_affiliation_strings":["School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China Email:"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China Email:","institution_ids":["https://openalex.org/I118574674"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5115604557","display_name":"Yongming Li","orcid":"https://orcid.org/0000-0001-8038-008X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"YONGMING LI","raw_affiliation_strings":["College of Computer Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science, Shaanxi Normal University, Xi'an, Shaanxi 710062, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027364929","display_name":"Juerg Kohlas","orcid":"https://orcid.org/0000-0001-8427-5594"},"institutions":[{"id":"https://openalex.org/I154338468","display_name":"University of Fribourg","ror":"https://ror.org/022fs9h90","country_code":"CH","type":"education","lineage":["https://openalex.org/I154338468"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"JUERG KOHLAS","raw_affiliation_strings":["Department of Informatics, University of Fribourg, Fribourg, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Fribourg, Fribourg, Switzerland","institution_ids":["https://openalex.org/I154338468"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025528626"],"corresponding_institution_ids":["https://openalex.org/I118574674"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30219651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"4","first_page":"460","last_page":"469"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9973999857902527,"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":0.9973999857902527,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9955999851226807,"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/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"}}],"keywords":[{"id":"https://openalex.org/keywords/semiring","display_name":"Semiring","score":0.9855929017066956},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6881680488586426},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5786104798316956},{"id":"https://openalex.org/keywords/kleene-algebra","display_name":"Kleene algebra","score":0.5745889544487},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.48505038022994995},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4814305007457733},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.434933066368103},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4311067461967468},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42169275879859924},{"id":"https://openalex.org/keywords/complete-lattice","display_name":"Complete lattice","score":0.4170060157775879},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.347596138715744},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10846641659736633},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07056966423988342},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.0571172833442688}],"concepts":[{"id":"https://openalex.org/C21696900","wikidata":"https://www.wikidata.org/wiki/Q1333055","display_name":"Semiring","level":2,"score":0.9855929017066956},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6881680488586426},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5786104798316956},{"id":"https://openalex.org/C206470798","wikidata":"https://www.wikidata.org/wiki/Q2634506","display_name":"Kleene algebra","level":2,"score":0.5745889544487},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.48505038022994995},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4814305007457733},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.434933066368103},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4311067461967468},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42169275879859924},{"id":"https://openalex.org/C201640847","wikidata":"https://www.wikidata.org/wiki/Q2362924","display_name":"Complete lattice","level":3,"score":0.4170060157775879},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.347596138715744},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10846641659736633},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07056966423988342},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0571172833442688},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0960129515000225","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0960129515000225","pdf_url":null,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W43376171","https://openalex.org/W1525647423","https://openalex.org/W1567753593","https://openalex.org/W1653389449","https://openalex.org/W1968991580","https://openalex.org/W1975173799","https://openalex.org/W2029834535","https://openalex.org/W2030058150","https://openalex.org/W2063515892","https://openalex.org/W2093397547","https://openalex.org/W3099581447","https://openalex.org/W4237325234"],"related_works":["https://openalex.org/W2033560440","https://openalex.org/W2741025110","https://openalex.org/W1540341981","https://openalex.org/W187758485","https://openalex.org/W1985776806","https://openalex.org/W2127942730","https://openalex.org/W3040795817","https://openalex.org/W4232125628","https://openalex.org/W2100036411","https://openalex.org/W2167502656"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"the":[5,33,43,57,60],"relationship":[6],"between":[7],"ordering":[8],"structures":[9],"on":[10,47],"semirings":[11],"and":[12,30],"semiring-induced":[13,20,51],"valuation":[14,21],"algebras.":[15],"We":[16],"show":[17],"that":[18],"a":[19,24,50],"algebra":[22,53],"is":[23,35,54,62],"complete":[25,36],"(resp.":[26,37],"continuous)":[27,38],"lattice":[28,39],"if":[29,32,56],"only":[31],"semiring":[34,61],"with":[40],"respect":[41],"to":[42],"reverse":[44],"order":[45],"relation":[46],"semirings.":[48],"Furthermore,":[49],"information":[52],"compact,":[55],"dual":[58],"of":[59],"an":[63],"algebraic":[64],"lattice.":[65]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
