{"id":"https://openalex.org/W1992033850","doi":"https://doi.org/10.1007/s001530100130","title":"Diophantine properties of finite commutative rings","display_name":"Diophantine properties of finite commutative rings","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1992033850","doi":"https://doi.org/10.1007/s001530100130","mag":"1992033850"},"language":"en","primary_location":{"id":"doi:10.1007/s001530100130","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100130","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","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/A5044551951","display_name":"Mihai Prunescu","orcid":"https://orcid.org/0000-0003-1627-050X"},"institutions":[{"id":"https://openalex.org/I2799318839","display_name":"Universit\u00e4tsmedizin Greifswald","ror":"https://ror.org/025vngs54","country_code":"DE","type":"education","lineage":["https://openalex.org/I2799318839"]},{"id":"https://openalex.org/I36522303","display_name":"Universit\u00e4t Greifswald","ror":"https://ror.org/00r1edq15","country_code":"DE","type":"education","lineage":["https://openalex.org/I36522303"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Mihai Prunescu","raw_affiliation_strings":["Institut f\u00fcr Mathematik und Informatik Universit\u00e4t Greifswald, F.-L.-Jahn-Str. 15a, 17487 Greifswald, Germany. e-mail: prunescu@mail.uni-greifswald.de; and IMAR Bucharest, Romania., , , , , , RO","Institut f\u00fcr Mathematik und Informatik Universit\u00e4t Greifswald, F.-L.-Jahn-Str. 15a, 17487 Greifswald, Germany. e-mail: prunescu@mail.uni-greifswald.de"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik Universit\u00e4t Greifswald, F.-L.-Jahn-Str. 15a, 17487 Greifswald, Germany. e-mail: prunescu@mail.uni-greifswald.de; and IMAR Bucharest, Romania., , , , , , RO","institution_ids":["https://openalex.org/I2799318839","https://openalex.org/I36522303"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik und Informatik Universit\u00e4t Greifswald, F.-L.-Jahn-Str. 15a, 17487 Greifswald, Germany. e-mail: prunescu@mail.uni-greifswald.de","institution_ids":["https://openalex.org/I36522303"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044551951"],"corresponding_institution_ids":["https://openalex.org/I2799318839","https://openalex.org/I36522303"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13524293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"42","issue":"3","first_page":"293","last_page":"302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9865999817848206,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9865999817848206,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9742000102996826,"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":0.9598000049591064,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.8658989667892456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7862042188644409},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.6987932920455933},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.5630326271057129},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5396729707717896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5170486569404602},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4774475693702698},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4382244646549225},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3580200672149658},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05531662702560425}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.8658989667892456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7862042188644409},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.6987932920455933},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.5630326271057129},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5396729707717896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5170486569404602},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4774475693702698},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4382244646549225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3580200672149658},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05531662702560425},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s001530100130","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001530100130","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"Archive for Mathematical Logic","raw_type":"journal-article"},{"id":"pmh:oai:freidok.uni-freiburg.de:49245","is_oa":false,"landing_page_url":"https://freidok.uni-freiburg.de/data/49245","pdf_url":null,"source":{"id":"https://openalex.org/S4306401057","display_name":"FreiDok plus (Universit\u00e4tsbibliothek Freiburg)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I161046081","host_organization_name":"University of Freiburg","host_organization_lineage":["https://openalex.org/I161046081"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Archive for Mathematical Logic. - 42, 3 (2003) , 293-302, ISSN: 0933-5846","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1495410784","https://openalex.org/W1511020764","https://openalex.org/W1558576569","https://openalex.org/W2107308446"],"related_works":["https://openalex.org/W4308298797","https://openalex.org/W4255963200","https://openalex.org/W2360590989","https://openalex.org/W4255391830","https://openalex.org/W2369074270","https://openalex.org/W2408222820","https://openalex.org/W2253391970","https://openalex.org/W2015466415","https://openalex.org/W2953844587","https://openalex.org/W1565509971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
