{"id":"https://openalex.org/W2921376195","doi":"https://doi.org/10.1080/00029890.2019.1562827","title":"So What Is Class Number 2?","display_name":"So What Is Class Number 2?","publication_year":2019,"publication_date":"2019-04-21","ids":{"openalex":"https://openalex.org/W2921376195","doi":"https://doi.org/10.1080/00029890.2019.1562827","mag":"2921376195"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2019.1562827","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2019.1562827","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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/A5006699882","display_name":"Scott T. Chapman","orcid":"https://orcid.org/0000-0003-1205-6899"},"institutions":[{"id":"https://openalex.org/I191429286","display_name":"Sam Houston State University","ror":"https://ror.org/00yh3cz06","country_code":"US","type":"education","lineage":["https://openalex.org/I191429286"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Scott T. Chapman","raw_affiliation_strings":["Department of Mathematics and Statistics, Sam Houston State University, Box 2206, Huntsville, TX 77341, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Sam Houston State University, Box 2206, Huntsville, TX 77341, USA","institution_ids":["https://openalex.org/I191429286"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006699882"],"corresponding_institution_ids":["https://openalex.org/I191429286"],"apc_list":null,"apc_paid":null,"fwci":0.4699,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55441082,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"126","issue":"4","first_page":"330","last_page":"339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":1.0,"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":1.0,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9977999925613403,"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":0.9962999820709229,"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/class","display_name":"Class (philosophy)","score":0.7582907676696777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6476894021034241},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6419534087181091},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5866953730583191},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5468397736549377},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44264519214630127},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3826502561569214},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23134922981262207},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07370731234550476},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05561414361000061},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.0476345419883728},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.03770968317985535}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.7582907676696777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6476894021034241},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6419534087181091},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5866953730583191},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5468397736549377},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44264519214630127},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3826502561569214},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23134922981262207},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07370731234550476},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05561414361000061},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0476345419883728},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.03770968317985535},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2019.1562827","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2019.1562827","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The American Mathematical Monthly","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":20,"referenced_works":["https://openalex.org/W578591961","https://openalex.org/W828740727","https://openalex.org/W1015863254","https://openalex.org/W1415576118","https://openalex.org/W1548875121","https://openalex.org/W1986755497","https://openalex.org/W2009650704","https://openalex.org/W2025587837","https://openalex.org/W2051482339","https://openalex.org/W2053431689","https://openalex.org/W2056102605","https://openalex.org/W2149198840","https://openalex.org/W2395485292","https://openalex.org/W2398712960","https://openalex.org/W2503979645","https://openalex.org/W2962843469","https://openalex.org/W3021035590","https://openalex.org/W4213144751","https://openalex.org/W4248480617","https://openalex.org/W4298035661"],"related_works":["https://openalex.org/W2794559785","https://openalex.org/W2950281908","https://openalex.org/W1754499339","https://openalex.org/W2013873776","https://openalex.org/W2583828359","https://openalex.org/W2963117165","https://openalex.org/W2963720107","https://openalex.org/W2084977674","https://openalex.org/W2954309532","https://openalex.org/W4206388824"],"abstract_inverted_index":{"Using":[0],"factorization":[1],"properties,":[2],"we":[3],"give":[4],"several":[5],"characterizations":[6],"for":[7],"a":[8],"ring":[9],"of":[10],"algebraic":[11],"integers":[12],"to":[13],"have":[14],"class":[15],"number":[16],"at":[17],"most":[18],"2.":[19]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
