{"id":"https://openalex.org/W2902417058","doi":"https://doi.org/10.14736/kyb-2019-2-0233","title":"Dieudonn\u00e9-type theorems for lattice group-valued k-triangular set functions","display_name":"Dieudonn\u00e9-type theorems for lattice group-valued k-triangular set functions","publication_year":2019,"publication_date":"2019-05-13","ids":{"openalex":"https://openalex.org/W2902417058","doi":"https://doi.org/10.14736/kyb-2019-2-0233","mag":"2902417058"},"language":"en","primary_location":{"id":"doi:10.14736/kyb-2019-2-0233","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2019-2-0233","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","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/A5061931277","display_name":"Antonio Boccuto","orcid":"https://orcid.org/0000-0003-3795-8856"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio Boccuto","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016767765","display_name":"Xenofon Dimitriou","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xenofon Dimitriou","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0675843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11822","display_name":"Analytic and geometric function theory","score":0.8910999894142151,"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/T11822","display_name":"Analytic and geometric function theory","score":0.8910999894142151,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.7748000025749207,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.7580999732017517,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.577271044254303},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5370708107948303},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5289381146430969},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5003969669342041},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42632579803466797},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4237705171108246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39465197920799255},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36309802532196045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24484622478485107},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1846109926700592},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05988651514053345}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.577271044254303},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5370708107948303},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5289381146430969},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5003969669342041},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42632579803466797},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4237705171108246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39465197920799255},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36309802532196045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24484622478485107},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1846109926700592},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05988651514053345},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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:10.14736/kyb-2019-2-0233","is_oa":false,"landing_page_url":"https://doi.org/10.14736/kyb-2019-2-0233","pdf_url":null,"source":{"id":"https://openalex.org/S158577884","display_name":"Kybernetika","issn_l":"0023-5954","issn":["0023-5954","1805-949X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310314340","host_organization_name":"Institute of Information Theory and Automation of the Czech Academy of Sciences","host_organization_lineage":["https://openalex.org/P4310314340","https://openalex.org/P4310314171"],"host_organization_lineage_names":["Institute of Information Theory and Automation of the Czech Academy of Sciences","Czech Academy of Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetika","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":30,"referenced_works":["https://openalex.org/W126708605","https://openalex.org/W172324283","https://openalex.org/W243911558","https://openalex.org/W635510250","https://openalex.org/W1506515663","https://openalex.org/W1526821845","https://openalex.org/W1528458083","https://openalex.org/W1570083270","https://openalex.org/W1604218605","https://openalex.org/W1978604023","https://openalex.org/W1979798940","https://openalex.org/W1984670359","https://openalex.org/W2005096337","https://openalex.org/W2012012891","https://openalex.org/W2023954095","https://openalex.org/W2044879959","https://openalex.org/W2055389405","https://openalex.org/W2060967750","https://openalex.org/W2062974973","https://openalex.org/W2084511525","https://openalex.org/W2089356191","https://openalex.org/W2101505673","https://openalex.org/W2125358739","https://openalex.org/W2221621319","https://openalex.org/W2507660644","https://openalex.org/W2517564457","https://openalex.org/W2763189955","https://openalex.org/W2780620687","https://openalex.org/W2850377453","https://openalex.org/W2950979251"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W2002282073","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W4288278856"],"abstract_inverted_index":{"Some":[0],"versions":[1],"of":[2],"Dieudonn\u00e9-type":[3],"convergence":[4],"and":[5,13,23],"uniform":[6],"boundedness":[7],"theorems":[8],"are":[9],"proved,":[10],"for":[11],"k-triangular":[12],"regular":[14],"lattice":[15],"group-valued":[16],"set":[17],"functions.We":[18],"use":[19],"sliding":[20],"hump":[21],"techniques":[22],"direct":[24],"methods.We":[25],"extend":[26],"earlier":[27],"results,":[28],"proved":[29],"in":[30],"the":[31],"real":[32],"case.Furthermore,":[33],"we":[34],"pose":[35],"some":[36],"open":[37],"problems.":[38]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}