{"id":"https://openalex.org/W4409253438","doi":"https://doi.org/10.1007/s10998-025-00637-1","title":"A generalization of a Menon-type identity by T\u00f3th in residually finite Dedekind domains","display_name":"A generalization of a Menon-type identity by T\u00f3th in residually finite Dedekind domains","publication_year":2025,"publication_date":"2025-04-08","ids":{"openalex":"https://openalex.org/W4409253438","doi":"https://doi.org/10.1007/s10998-025-00637-1"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-025-00637-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-025-00637-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","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/A5056761234","display_name":"Tianfang Qi","orcid":null},"institutions":[{"id":"https://openalex.org/I2799736854","display_name":"Nanjing Institute of Technology","ror":"https://ror.org/00n6txq60","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799736854"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tianfang Qi","raw_affiliation_strings":["Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211167, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Physics, Nanjing Institute of Technology, Nanjing, 211167, China","institution_ids":["https://openalex.org/I2799736854"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100652415","display_name":"Man Chen","orcid":"https://orcid.org/0000-0001-6698-3212"},"institutions":[{"id":"https://openalex.org/I4210104233","display_name":"China Electronics Corporation (China)","ror":"https://ror.org/00vsv8c52","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210104233"]},{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Man Chen","raw_affiliation_strings":["Department of Mathematics, Renmin University of China, Beijing, 100872, China","The 6th Research Institute of China Electronics Corporation, Beijing, 102200, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Renmin University of China, Beijing, 100872, China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"The 6th Research Institute of China Electronics Corporation, Beijing, 102200, China","institution_ids":["https://openalex.org/I4210104233"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056761234"],"corresponding_institution_ids":["https://openalex.org/I2799736854"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11182109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"91","issue":"1","first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10884","display_name":"Holomorphic and Operator Theory","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9060328006744385},{"id":"https://openalex.org/keywords/dedekind-cut","display_name":"Dedekind cut","score":0.8625421524047852},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7265631556510925},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.6212862730026245},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5919436812400818},{"id":"https://openalex.org/keywords/dedekind-sum","display_name":"Dedekind sum","score":0.5918397903442383},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5473806858062744},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13640591502189636},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06670686602592468}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9060328006744385},{"id":"https://openalex.org/C76449584","wikidata":"https://www.wikidata.org/wiki/Q851333","display_name":"Dedekind cut","level":2,"score":0.8625421524047852},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7265631556510925},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.6212862730026245},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5919436812400818},{"id":"https://openalex.org/C183606055","wikidata":"https://www.wikidata.org/wiki/Q2463775","display_name":"Dedekind sum","level":3,"score":0.5918397903442383},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5473806858062744},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13640591502189636},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06670686602592468},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-025-00637-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-025-00637-1","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","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":17,"referenced_works":["https://openalex.org/W1974660966","https://openalex.org/W2059655213","https://openalex.org/W2289620335","https://openalex.org/W2571184775","https://openalex.org/W2611144442","https://openalex.org/W2613987680","https://openalex.org/W2625693374","https://openalex.org/W2848576193","https://openalex.org/W2885501769","https://openalex.org/W2963149080","https://openalex.org/W3105969533","https://openalex.org/W3128745560","https://openalex.org/W3173905221","https://openalex.org/W3209054906","https://openalex.org/W4231057995","https://openalex.org/W4286904094","https://openalex.org/W6600050674"],"related_works":["https://openalex.org/W2530014757","https://openalex.org/W4300521557","https://openalex.org/W2891743814","https://openalex.org/W2027146904","https://openalex.org/W2890051578","https://openalex.org/W2229007345","https://openalex.org/W1527877675","https://openalex.org/W4300952726","https://openalex.org/W3137457678","https://openalex.org/W2949460333"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}