{"id":"https://openalex.org/W2042715074","doi":"https://doi.org/10.1142/s0218196702000985","title":"SOME EXACT SEQUENCES FOR THE HOMOTOPY (BI-)MODULE OF A MONOID","display_name":"SOME EXACT SEQUENCES FOR THE HOMOTOPY (BI-)MODULE OF A MONOID","publication_year":2002,"publication_date":"2002-02-01","ids":{"openalex":"https://openalex.org/W2042715074","doi":"https://doi.org/10.1142/s0218196702000985","mag":"2042715074"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196702000985","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196702000985","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5102713187","display_name":"Yuji Kobayashi","orcid":"https://orcid.org/0000-0001-6061-9508"},"institutions":[{"id":"https://openalex.org/I129634264","display_name":"Toho University","ror":"https://ror.org/02hcx7n63","country_code":"JP","type":"education","lineage":["https://openalex.org/I129634264"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"YUJI KOBAYASHI","raw_affiliation_strings":["Department of Information Science, Faculty of Science, Toho University, Funabashi 274\u20138510, Japan","Department of Information Science, Faculty of Science, Toho University, Funabashi, 274-8510, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Science, Faculty of Science, Toho University, Funabashi 274\u20138510, Japan","institution_ids":["https://openalex.org/I129634264"]},{"raw_affiliation_string":"Department of Information Science, Faculty of Science, Toho University, Funabashi, 274-8510, Japan","institution_ids":["https://openalex.org/I129634264"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111446858","display_name":"Friedrich Otto","orcid":null},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"FRIEDRICH OTTO","raw_affiliation_strings":["Fachbereich Mathematik / Informatik, Universit\u00e4t Kassel, 34109 Kassel, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik / Informatik, Universit\u00e4t Kassel, 34109 Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102713187"],"corresponding_institution_ids":["https://openalex.org/I129634264"],"apc_list":null,"apc_paid":null,"fwci":1.9269,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.83906172,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"12","issue":"01n02","first_page":"247","last_page":"284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9991000294685364,"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":0.9990000128746033,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9972000122070312,"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":0.9258832335472107},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.754723310470581},{"id":"https://openalex.org/keywords/homotopy","display_name":"Homotopy","score":0.6738727688789368},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5705790519714355},{"id":"https://openalex.org/keywords/exact-sequence","display_name":"Exact sequence","score":0.5475937724113464},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5381084680557251},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5174601674079895},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.47237613797187805},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38097822666168213}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9258832335472107},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.754723310470581},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.6738727688789368},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5705790519714355},{"id":"https://openalex.org/C25534917","wikidata":"https://www.wikidata.org/wiki/Q1326955","display_name":"Exact sequence","level":2,"score":0.5475937724113464},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5381084680557251},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5174601674079895},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.47237613797187805},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38097822666168213},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196702000985","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196702000985","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.36.3054","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.3054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://elba.db.informatik.uni-kassel.de/FG_TH/techreps/TR-2000-18.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1978343152","https://openalex.org/W1978362621","https://openalex.org/W1978602349","https://openalex.org/W1997476598","https://openalex.org/W2003559293","https://openalex.org/W2003680473","https://openalex.org/W2006590125","https://openalex.org/W2007003898","https://openalex.org/W2014030742","https://openalex.org/W2015953802","https://openalex.org/W2019231301","https://openalex.org/W2031613223","https://openalex.org/W2035318451","https://openalex.org/W2046280211","https://openalex.org/W2070333917","https://openalex.org/W2073165419","https://openalex.org/W2074251444","https://openalex.org/W2088247760","https://openalex.org/W2093309581","https://openalex.org/W2095025939","https://openalex.org/W2123095457","https://openalex.org/W2130392945","https://openalex.org/W2131015128","https://openalex.org/W2135953325","https://openalex.org/W2164680691"],"related_works":["https://openalex.org/W1866912832","https://openalex.org/W4295887876","https://openalex.org/W4390437744","https://openalex.org/W2027874150","https://openalex.org/W2969361908","https://openalex.org/W2265748241","https://openalex.org/W4298399487","https://openalex.org/W1977695021","https://openalex.org/W2964300931","https://openalex.org/W2139644656"],"abstract_inverted_index":{"For":[0],"finitely":[1],"presented":[2],"monoids":[3],"the":[4,21,46,68,76,97,101,110,113],"homological":[5,38],"finiteness":[6,23,114],"conditions":[7,24,115],"left-[Formula:":[8,11],"see":[9,12,15,19,31,41],"text],":[10,13,20],"right-[Formula:":[14,18],"text]":[16,32,42],"and":[17,33,45,62,64],"homotopical":[22],"of":[25,34,36,59,70,73,96],"having":[26],"finite":[27,37],"derivation":[28],"type":[29,39],"[Formula:":[30,40],"being":[35],"are":[43],"developed":[44],"relationship":[47,111],"between":[48,112],"these":[49],"notions":[50],"is":[51,79,90],"investigated":[52],"in":[53,81],"detail.":[54],"In":[55],"particular,":[56],"a":[57,71,82,94],"result":[58,99],"Pride":[60],"[40]":[61],"Guba":[63],"Sapir":[65],"[27]":[66],"on":[67],"exactness":[69],"sequence":[72],"bimodules":[74],"for":[75,100],"homotopy":[77,103],"module":[78],"proved":[80],"completely":[83],"different,":[84],"purely":[85],"combinatorial":[86],"manner.":[87],"This":[88],"proof":[89,95],"then":[91],"translated":[92],"into":[93,109],"corresponding":[98],"left":[102],"module,":[104],"thus":[105],"giving":[106],"new":[107],"insights":[108],"considered.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
