{"id":"https://openalex.org/W2127113693","doi":"https://doi.org/10.1007/s10485-006-9042-7","title":"Gabriel Dimension for Graded Rings","display_name":"Gabriel Dimension for Graded Rings","publication_year":2006,"publication_date":"2006-11-17","ids":{"openalex":"https://openalex.org/W2127113693","doi":"https://doi.org/10.1007/s10485-006-9042-7","mag":"2127113693"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-006-9042-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-006-9042-7","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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/A5110435052","display_name":"Manuel J. Asensio","orcid":null},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. J. Asensio","raw_affiliation_strings":["Departamento de Algebra y An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, E04120, Almer\u00eda, Spain","Universidad de Almer\u00eda"],"affiliations":[{"raw_affiliation_string":"Departamento de Algebra y An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, E04120, Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Universidad de Almer\u00eda","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006709447","display_name":"C. N\u0103st\u0103sescu","orcid":null},"institutions":[{"id":"https://openalex.org/I141595442","display_name":"University of Bucharest","ror":"https://ror.org/02x2v6p15","country_code":"RO","type":"education","lineage":["https://openalex.org/I141595442"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"C. N\u0103st\u0103sescu","raw_affiliation_strings":["Facultatea de Matematica, University of Bucharest, Str. Academiei 14, RO-70109, Bucharest 1, Romania","University of Bucharest*"],"affiliations":[{"raw_affiliation_string":"Facultatea de Matematica, University of Bucharest, Str. Academiei 14, RO-70109, Bucharest 1, Romania","institution_ids":["https://openalex.org/I141595442"]},{"raw_affiliation_string":"University of Bucharest*","institution_ids":["https://openalex.org/I141595442"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087490338","display_name":"B. Torrecillas","orcid":"https://orcid.org/0000-0002-0992-9911"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"B. Torrecillas","raw_affiliation_strings":["Departamento de Algebra y An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, E04120, Almer\u00eda, Spain","Universidad de Almer\u00eda"],"affiliations":[{"raw_affiliation_string":"Departamento de Algebra y An\u00e1lisis Matem\u00e1tico, Universidad de Almer\u00eda, E04120, Almer\u00eda, Spain","institution_ids":["https://openalex.org/I52354020"]},{"raw_affiliation_string":"Universidad de Almer\u00eda","institution_ids":["https://openalex.org/I52354020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110435052"],"corresponding_institution_ids":["https://openalex.org/I52354020"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.23145038,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5-6","first_page":"421","last_page":"430"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998000264167786,"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":0.9998000264167786,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9997000098228455,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7795706987380981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7450495958328247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5704100728034973},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5309020280838013},{"id":"https://openalex.org/keywords/inductive-dimension","display_name":"Inductive dimension","score":0.4643697142601013},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.44089823961257935},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35235390067100525},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20427709817886353},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20254746079444885},{"id":"https://openalex.org/keywords/minkowski\u2013bouligand-dimension","display_name":"Minkowski\u2013Bouligand dimension","score":0.10928022861480713}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7795706987380981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7450495958328247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5704100728034973},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5309020280838013},{"id":"https://openalex.org/C66844729","wikidata":"https://www.wikidata.org/wiki/Q841816","display_name":"Inductive dimension","level":5,"score":0.4643697142601013},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.44089823961257935},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35235390067100525},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20427709817886353},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20254746079444885},{"id":"https://openalex.org/C101597101","wikidata":"https://www.wikidata.org/wiki/Q2555655","display_name":"Minkowski\u2013Bouligand dimension","level":4,"score":0.10928022861480713},{"id":"https://openalex.org/C26546657","wikidata":"https://www.wikidata.org/wiki/Q1412452","display_name":"Fractal dimension","level":3,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10485-006-9042-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-006-9042-7","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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":8,"referenced_works":["https://openalex.org/W138107028","https://openalex.org/W326622104","https://openalex.org/W611840919","https://openalex.org/W1507777621","https://openalex.org/W1550266321","https://openalex.org/W1922505179","https://openalex.org/W1977322174","https://openalex.org/W2009958981"],"related_works":["https://openalex.org/W1980116979","https://openalex.org/W2060361414","https://openalex.org/W2157707209","https://openalex.org/W4297584777","https://openalex.org/W4310018758","https://openalex.org/W2206386039","https://openalex.org/W4387422778","https://openalex.org/W3139066715","https://openalex.org/W2383563525","https://openalex.org/W2385131752"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}