{"id":"https://openalex.org/W2093006702","doi":"https://doi.org/10.1016/s0012-365x(96)83021-4","title":"Some results on Betti numbers of Stanley-Reisner rings","display_name":"Some results on Betti numbers of Stanley-Reisner rings","publication_year":1996,"publication_date":"1996-10-01","ids":{"openalex":"https://openalex.org/W2093006702","doi":"https://doi.org/10.1016/s0012-365x(96)83021-4","mag":"2093006702"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(96)83021-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(96)83021-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5035667536","display_name":"Naoki Terai","orcid":"https://orcid.org/0000-0002-9303-1361"},"institutions":[{"id":"https://openalex.org/I4210093166","display_name":"National Institute of Technology, Nagano College","ror":"https://ror.org/00kd5se19","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210093166"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Terai","raw_affiliation_strings":["Department of Mathematics, Nagano National College of Technology, Nagano 381, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nagano National College of Technology, Nagano 381, Japan","institution_ids":["https://openalex.org/I4210093166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005668319","display_name":"Takayuki Hibi","orcid":"https://orcid.org/0000-0002-7619-1152"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Takayuki Hibi","raw_affiliation_strings":["Department of Mathematics, Hokkaido University, Kita-ku, Sapporo 060, Japan","Dept. of Mathematics, Hokkaido University, Kita-ku, Sapporo 060, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hokkaido University, Kita-ku, Sapporo 060, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Dept. of Mathematics, Hokkaido University, Kita-ku, Sapporo 060, Japan","institution_ids":["https://openalex.org/I205349734"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005668319"],"corresponding_institution_ids":["https://openalex.org/I205349734"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.7763,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.70715726,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"157","issue":"1-3","first_page":"311","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9975000023841858,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.9658326506614685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8592238426208496},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.711106538772583},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.5833041667938232},{"id":"https://openalex.org/keywords/monomial-ideal","display_name":"Monomial ideal","score":0.5620054006576538},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.45996031165122986},{"id":"https://openalex.org/keywords/polynomial-ring","display_name":"Polynomial ring","score":0.3331512212753296},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07707226276397705}],"concepts":[{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.9658326506614685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8592238426208496},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.711106538772583},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.5833041667938232},{"id":"https://openalex.org/C2777789435","wikidata":"https://www.wikidata.org/wiki/Q19369206","display_name":"Monomial ideal","level":4,"score":0.5620054006576538},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.45996031165122986},{"id":"https://openalex.org/C9485509","wikidata":"https://www.wikidata.org/wiki/Q1455652","display_name":"Polynomial ring","level":3,"score":0.3331512212753296},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07707226276397705},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(96)83021-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(96)83021-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":24,"referenced_works":["https://openalex.org/W313304843","https://openalex.org/W1016341714","https://openalex.org/W1515761639","https://openalex.org/W1516274256","https://openalex.org/W1519801683","https://openalex.org/W1546959834","https://openalex.org/W1970814953","https://openalex.org/W1972686801","https://openalex.org/W1974863678","https://openalex.org/W1984293351","https://openalex.org/W2004318113","https://openalex.org/W2015050395","https://openalex.org/W2018501645","https://openalex.org/W2031806265","https://openalex.org/W2049887259","https://openalex.org/W2059683211","https://openalex.org/W2060185552","https://openalex.org/W2066287678","https://openalex.org/W2071081900","https://openalex.org/W2089331003","https://openalex.org/W2582935558","https://openalex.org/W2751891529","https://openalex.org/W2914659449","https://openalex.org/W4237012419"],"related_works":["https://openalex.org/W2963379674","https://openalex.org/W4297196235","https://openalex.org/W2724242225","https://openalex.org/W4309800426","https://openalex.org/W4299527336","https://openalex.org/W1967468678","https://openalex.org/W3040399344","https://openalex.org/W3091552401","https://openalex.org/W2283687891","https://openalex.org/W1571705051"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
