{"id":"https://openalex.org/W28742029","doi":"https://doi.org/10.1007/s10485-016-9431-5","title":"Splitting of Operads and Rota-Baxter Operators on Operads","display_name":"Splitting of Operads and Rota-Baxter Operators on Operads","publication_year":2016,"publication_date":"2016-02-19","ids":{"openalex":"https://openalex.org/W28742029","doi":"https://doi.org/10.1007/s10485-016-9431-5","mag":"28742029"},"language":"en","primary_location":{"id":"doi:10.1007/s10485-016-9431-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-016-9431-5","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","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/A5011397193","display_name":"Jun Pei","orcid":null},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Pei","raw_affiliation_strings":["School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China","Southwest University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China","institution_ids":["https://openalex.org/I142108993"]},{"raw_affiliation_string":"Southwest University","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014897749","display_name":"Chengming Bai","orcid":"https://orcid.org/0000-0002-9242-5887"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengming Bai","raw_affiliation_strings":["Chern Institute of Mathematics & LPMC, Nankai University, Tianjin, 300071, China","Nankai University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics & LPMC, Nankai University, Tianjin, 300071, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082647345","display_name":"Li Guo","orcid":"https://orcid.org/0000-0002-3786-158X"},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I53592917","display_name":"Jiangxi Normal University","ror":"https://ror.org/05nkgk822","country_code":"CN","type":"education","lineage":["https://openalex.org/I53592917"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["CN","NL","US"],"is_corresponding":false,"raw_author_name":"Li Guo","raw_affiliation_strings":["Department of Mathematics and Computer Science, Rutgers University, Newark, NJ, 07102, USA","Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China","Jiangxi Normal University","Rutgers University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Rutgers University, Newark, NJ, 07102, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Jiangxi Normal University","institution_ids":["https://openalex.org/I53592917"]},{"raw_affiliation_string":"Rutgers University","institution_ids":["https://openalex.org/I4210096112"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011397193"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":7.669,"has_fulltext":false,"cited_by_count":59,"citation_normalized_percentile":{"value":0.9795022,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"25","issue":"4","first_page":"505","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","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/T11673","display_name":"Advanced Topics in Algebra","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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9973000288009644,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9872999787330627,"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/connection","display_name":"Connection (principal bundle)","score":0.6477522850036621},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5529668927192688},{"id":"https://openalex.org/keywords/binary-operation","display_name":"Binary operation","score":0.5358233451843262},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5301051139831543},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5220592021942139},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5171055793762207},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5015552043914795},{"id":"https://openalex.org/keywords/associative-algebra","display_name":"Associative algebra","score":0.4939585328102112},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.4875430762767792},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.48594486713409424},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4611421525478363},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4160494804382324},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.37888455390930176},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2490716278553009},{"id":"https://openalex.org/keywords/cellular-algebra","display_name":"Cellular algebra","score":0.1764160692691803},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11434254050254822},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.050658196210861206}],"concepts":[{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6477522850036621},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5529668927192688},{"id":"https://openalex.org/C185529760","wikidata":"https://www.wikidata.org/wiki/Q164307","display_name":"Binary operation","level":2,"score":0.5358233451843262},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5301051139831543},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5220592021942139},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5171055793762207},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5015552043914795},{"id":"https://openalex.org/C51292594","wikidata":"https://www.wikidata.org/wiki/Q744960","display_name":"Associative algebra","level":5,"score":0.4939585328102112},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4875430762767792},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.48594486713409424},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4611421525478363},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4160494804382324},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.37888455390930176},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2490716278553009},{"id":"https://openalex.org/C100899422","wikidata":"https://www.wikidata.org/wiki/Q5058347","display_name":"Cellular algebra","level":4,"score":0.1764160692691803},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11434254050254822},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.050658196210861206},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10485-016-9431-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10485-016-9431-5","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"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":"Applied Categorical Structures","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.765.8698","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.765.8698","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/1306.3046.pdf","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":55,"referenced_works":["https://openalex.org/W12818609","https://openalex.org/W584090173","https://openalex.org/W1539196072","https://openalex.org/W1547206463","https://openalex.org/W1554315206","https://openalex.org/W1561863879","https://openalex.org/W1562014828","https://openalex.org/W1608296274","https://openalex.org/W1640910101","https://openalex.org/W1763718535","https://openalex.org/W1958094574","https://openalex.org/W1971109247","https://openalex.org/W1971509177","https://openalex.org/W1978490496","https://openalex.org/W1991332262","https://openalex.org/W1991399360","https://openalex.org/W1995134863","https://openalex.org/W1996280949","https://openalex.org/W2011906442","https://openalex.org/W2011945772","https://openalex.org/W2013071320","https://openalex.org/W2020482247","https://openalex.org/W2022887106","https://openalex.org/W2028773736","https://openalex.org/W2033549448","https://openalex.org/W2038509897","https://openalex.org/W2049452854","https://openalex.org/W2052410320","https://openalex.org/W2062921508","https://openalex.org/W2069849266","https://openalex.org/W2075993933","https://openalex.org/W2079772887","https://openalex.org/W2088567618","https://openalex.org/W2122350569","https://openalex.org/W2156466169","https://openalex.org/W2162577677","https://openalex.org/W2166592280","https://openalex.org/W2216696574","https://openalex.org/W2325586798","https://openalex.org/W2583599192","https://openalex.org/W2963366983","https://openalex.org/W2963520786","https://openalex.org/W3037075702","https://openalex.org/W3038123500","https://openalex.org/W3105289322","https://openalex.org/W3105852593","https://openalex.org/W3105921575","https://openalex.org/W3120927221","https://openalex.org/W3122819176","https://openalex.org/W4212816849","https://openalex.org/W4213161067","https://openalex.org/W4214903855","https://openalex.org/W4230488619","https://openalex.org/W4234135937","https://openalex.org/W6636562664"],"related_works":["https://openalex.org/W2277628821","https://openalex.org/W4293365293","https://openalex.org/W2415442536","https://openalex.org/W73679669","https://openalex.org/W1973798453","https://openalex.org/W2105696116","https://openalex.org/W4290803092","https://openalex.org/W2016743495","https://openalex.org/W1994921377","https://openalex.org/W2093166349"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5}],"updated_date":"2026-05-13T08:25:38.343686","created_date":"2025-10-10T00:00:00"}