{"id":"https://openalex.org/W2103385422","doi":"https://doi.org/10.1155/s0161171204403421","title":"Rational toral ranks in certain algebras","display_name":"Rational toral ranks in certain algebras","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2103385422","doi":"https://doi.org/10.1155/s0161171204403421","mag":"2103385422"},"language":"en","primary_location":{"id":"doi:10.1155/s0161171204403421","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204403421","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/390376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2004/390376.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050144724","display_name":"Yasusuke Kotani","orcid":null},"institutions":[{"id":"https://openalex.org/I77063589","display_name":"K\u014dchi University","ror":"https://ror.org/01xxp6985","country_code":"JP","type":"education","lineage":["https://openalex.org/I77063589"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasusuke Kotani","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, Japan","Department of Mathematics, Faculty of Science, Kochi University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, Japan","institution_ids":["https://openalex.org/I77063589"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Kochi University","institution_ids":["https://openalex.org/I77063589"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103696220","display_name":"Toshihiro Yamaguchi","orcid":"https://orcid.org/0000-0002-5458-5345"},"institutions":[{"id":"https://openalex.org/I201954162","display_name":"University of Kochi","ror":"https://ror.org/02v1sf687","country_code":"JP","type":"education","lineage":["https://openalex.org/I201954162"]},{"id":"https://openalex.org/I35568498","display_name":"Kochi University of Technology","ror":"https://ror.org/00rghrr56","country_code":"JP","type":"education","lineage":["https://openalex.org/I35568498"]},{"id":"https://openalex.org/I77063589","display_name":"K\u014dchi University","ror":"https://ror.org/01xxp6985","country_code":"JP","type":"education","lineage":["https://openalex.org/I77063589"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Toshihiro Yamaguchi","raw_affiliation_strings":["Department of Mathematics Education, Faculty of Education, Kochi Uni-versity, Kochi 780-8520, Japan","Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, Japan","Department of Mathematics Education, Faculty of Education, Kochi University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Faculty of Education, Kochi Uni-versity, Kochi 780-8520, Japan","institution_ids":["https://openalex.org/I201954162","https://openalex.org/I35568498"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Kochi University, Kochi 780-8520, Japan","institution_ids":["https://openalex.org/I77063589"]},{"raw_affiliation_string":"Department of Mathematics Education, Faculty of Education, Kochi University","institution_ids":["https://openalex.org/I77063589"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.20669073,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2004","issue":"69","first_page":"3765","last_page":"3774"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9998999834060669,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991999864578247,"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":0.9858999848365784,"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/mathematics","display_name":"Mathematics","score":0.9464436173439026},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6754663586616516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6134326457977295},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5883517265319824},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.5646966099739075},{"id":"https://openalex.org/keywords/cohomology","display_name":"Cohomology","score":0.5149930119514465},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3695114850997925},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17322427034378052}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9464436173439026},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6754663586616516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6134326457977295},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5883517265319824},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.5646966099739075},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.5149930119514465},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3695114850997925},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17322427034378052},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/s0161171204403421","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204403421","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/390376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:390376","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2004/390376.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:2eeb39f2cc6143f0840e53afe3643b34","is_oa":true,"landing_page_url":"https://doaj.org/article/2eeb39f2cc6143f0840e53afe3643b34","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 69, Pp 3765-3774 (2004)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/S0161171204403421","is_oa":false,"landing_page_url":"https://doi.org/10.1155/S0161171204403421","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1155/s0161171204403421","is_oa":true,"landing_page_url":"https://doi.org/10.1155/s0161171204403421","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2004/390376.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2103385422.pdf","grobid_xml":"https://content.openalex.org/works/W2103385422.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1538084850","https://openalex.org/W1569121697","https://openalex.org/W2063560306","https://openalex.org/W2094340308","https://openalex.org/W2103084241","https://openalex.org/W2990021121","https://openalex.org/W4214535872"],"related_works":["https://openalex.org/W2112835755","https://openalex.org/W4291951920","https://openalex.org/W2349674371","https://openalex.org/W2097495471","https://openalex.org/W1696545756","https://openalex.org/W2952827811","https://openalex.org/W2056202066","https://openalex.org/W2963262648","https://openalex.org/W4301867002","https://openalex.org/W4290048803"],"abstract_inverted_index":{"We":[0],"calculate":[1],"the":[2],"rational":[3,16,21],"toral":[4,17],"ranks":[5],"of":[6],"two":[7],"spaces":[8],"whose":[9],"cohomologies":[10],"are":[11],"isomorphic":[12],"and":[13],"note":[14],"that":[15],"rank":[18],"is":[19],"a":[20,26],"homotopy":[22],"invariant":[23],"but":[24],"not":[25],"cohomology":[27],"invariant.":[28]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
