{"id":"https://openalex.org/W2112471150","doi":"https://doi.org/10.1007/s00454-015-9746-2","title":"Persistence Modules on Commutative Ladders of Finite Type","display_name":"Persistence Modules on Commutative Ladders of Finite Type","publication_year":2015,"publication_date":"2015-11-02","ids":{"openalex":"https://openalex.org/W2112471150","doi":"https://doi.org/10.1007/s00454-015-9746-2","mag":"2112471150"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-015-9746-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-015-9746-2","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete & Computational Geometry","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/A5021529936","display_name":"Emerson G. Escolar","orcid":"https://orcid.org/0000-0003-4751-1521"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Emerson G. Escolar","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan","Graduate School of Mathematics, Kyushu University, Nishi-ku, Japan 819-0395#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, 744, Motooka, Nishi-ku, Fukuoka, 819-0395, Japan","institution_ids":["https://openalex.org/I135598925"]},{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Nishi-ku, Japan 819-0395#TAB#","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056747996","display_name":"Yasuaki Hiraoka","orcid":"https://orcid.org/0000-0002-1023-2687"},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yasuaki Hiraoka","raw_affiliation_strings":["WPI - Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, 2-1-1, Katahira, Aoba-ku, Sendai, 980-8577, Japan","WPI - Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Aoba-ku, Japan 980-8577#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"WPI - Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, 2-1-1, Katahira, Aoba-ku, Sendai, 980-8577, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"WPI - Advanced Institute for Materials Research (WPI-AIMR), Tohoku University, Aoba-ku, Japan 980-8577#TAB#","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056747996"],"corresponding_institution_ids":["https://openalex.org/I201537933"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":1.6737,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":{"value":0.85118092,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"55","issue":"1","first_page":"100","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":1.0,"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"}},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9876999855041504,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9735000133514404,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/commutative-property","display_name":"Commutative property","score":0.8096866011619568},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7729742527008057},{"id":"https://openalex.org/keywords/persistence","display_name":"Persistence (discontinuity)","score":0.7509792447090149},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6753726601600647},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5850300788879395},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5734351277351379},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5468912720680237},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.540686309337616},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5234229564666748},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4398864507675171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15243631601333618},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0634094774723053},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06158643960952759}],"concepts":[{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.8096866011619568},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7729742527008057},{"id":"https://openalex.org/C2781009140","wikidata":"https://www.wikidata.org/wiki/Q7170389","display_name":"Persistence (discontinuity)","level":2,"score":0.7509792447090149},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6753726601600647},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5850300788879395},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5734351277351379},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5468912720680237},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.540686309337616},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5234229564666748},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4398864507675171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15243631601333618},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0634094774723053},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06158643960952759},{"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/C187320778","wikidata":"https://www.wikidata.org/wiki/Q1349130","display_name":"Geotechnical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-015-9746-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-015-9746-2","pdf_url":null,"source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.751.7759","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.751.7759","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1404.7588.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5049084693","display_name":"Development of high performance error-correcting codes by using dynamical systems, Groebner basis, and sheaf cohomology","funder_award_id":"24684007","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W340144672","https://openalex.org/W1546963203","https://openalex.org/W1548384067","https://openalex.org/W1964172127","https://openalex.org/W1991566301","https://openalex.org/W2002165972","https://openalex.org/W2009940349","https://openalex.org/W2037613900","https://openalex.org/W2046774071","https://openalex.org/W2056761334","https://openalex.org/W2065367476","https://openalex.org/W2093890854","https://openalex.org/W2110369778","https://openalex.org/W2129761755","https://openalex.org/W2133227973","https://openalex.org/W2135610119","https://openalex.org/W2144044408","https://openalex.org/W2156209050","https://openalex.org/W2253971223","https://openalex.org/W2278796013","https://openalex.org/W2424211690","https://openalex.org/W2481251181","https://openalex.org/W2561675875","https://openalex.org/W2616699972","https://openalex.org/W2913946465","https://openalex.org/W2963809284","https://openalex.org/W2964292054","https://openalex.org/W3013843370","https://openalex.org/W3099422512","https://openalex.org/W3140579943","https://openalex.org/W4234555707","https://openalex.org/W4251980118","https://openalex.org/W4300824122","https://openalex.org/W6601937310"],"related_works":["https://openalex.org/W1576049389","https://openalex.org/W1723526129","https://openalex.org/W4288570797","https://openalex.org/W1974287725","https://openalex.org/W4295253537","https://openalex.org/W2059672880","https://openalex.org/W2063752695","https://openalex.org/W2146163384","https://openalex.org/W1579054707","https://openalex.org/W1480324783"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}