{"id":"https://openalex.org/W48961076","doi":"https://doi.org/10.1007/978-3-642-04772-5_24","title":"Algorithm for Testing the Leibniz Algebra Structure","display_name":"Algorithm for Testing the Leibniz Algebra Structure","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W48961076","doi":"https://doi.org/10.1007/978-3-642-04772-5_24","mag":"48961076"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-04772-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04772-5_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5002648459","display_name":"J. M. Casas","orcid":"https://orcid.org/0000-0002-6556-6131"},"institutions":[{"id":"https://openalex.org/I6289922","display_name":"Universidade de Vigo","ror":"https://ror.org/05rdf8595","country_code":"ES","type":"education","lineage":["https://openalex.org/I6289922"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Manuel Casas","raw_affiliation_strings":["Universidad de Vigo, Pontevedra, Spain","Universidad de Vigo, Pontevedra, Spain 36005"],"affiliations":[{"raw_affiliation_string":"Universidad de Vigo, Pontevedra, Spain","institution_ids":["https://openalex.org/I6289922"]},{"raw_affiliation_string":"Universidad de Vigo, Pontevedra, Spain 36005","institution_ids":["https://openalex.org/I6289922"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109158269","display_name":"Manuel A. Insua","orcid":null},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel A. Insua","raw_affiliation_strings":["Universidad de Santiago, Santiago, Spain","Universidad de Santiago, Santiago, Spain E-15782#TAB#"],"affiliations":[{"raw_affiliation_string":"Universidad de Santiago, Santiago, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Universidad de Santiago, Santiago, Spain E-15782#TAB#","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032770294","display_name":"M. Ladra","orcid":"https://orcid.org/0000-0002-0543-4508"},"institutions":[{"id":"https://openalex.org/I200284239","display_name":"Universidade de Santiago de Compostela","ror":"https://ror.org/030eybx10","country_code":"ES","type":"education","lineage":["https://openalex.org/I200284239"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Manuel Ladra","raw_affiliation_strings":["Universidad de Santiago, Santiago, Spain","Universidad de Santiago, Santiago, Spain E-15782#TAB#"],"affiliations":[{"raw_affiliation_string":"Universidad de Santiago, Santiago, Spain","institution_ids":["https://openalex.org/I200284239"]},{"raw_affiliation_string":"Universidad de Santiago, Santiago, Spain E-15782#TAB#","institution_ids":["https://openalex.org/I200284239"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085109336","display_name":"Susana Ladra","orcid":"https://orcid.org/0000-0003-4616-0774"},"institutions":[{"id":"https://openalex.org/I11019714","display_name":"Universidade da Coru\u00f1a","ror":"https://ror.org/01qckj285","country_code":"ES","type":"education","lineage":["https://openalex.org/I11019714"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Susana Ladra","raw_affiliation_strings":["Universidad de A Coru\u00f1a, A Coru\u00f1a, Spain","Universidad de A Coru\u00f1a, A Coru\u00f1a, Spain 15071#TAB#"],"affiliations":[{"raw_affiliation_string":"Universidad de A Coru\u00f1a, A Coru\u00f1a, Spain","institution_ids":["https://openalex.org/I11019714"]},{"raw_affiliation_string":"Universidad de A Coru\u00f1a, A Coru\u00f1a, Spain 15071#TAB#","institution_ids":["https://openalex.org/I11019714"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002648459"],"corresponding_institution_ids":["https://openalex.org/I6289922"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8921,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.80698152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"177","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9975000023841858,"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":0.9975000023841858,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9934999942779541,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6830816268920898},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.647339403629303},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.5411438941955566},{"id":"https://openalex.org/keywords/symbolic-computation","display_name":"Symbolic computation","score":0.5387469530105591},{"id":"https://openalex.org/keywords/bilinear-form","display_name":"Bilinear form","score":0.5235894918441772},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5209737420082092},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5037557482719421},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.49627047777175903},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.48276129364967346},{"id":"https://openalex.org/keywords/bilinear-map","display_name":"Bilinear map","score":0.4652365744113922},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.423037588596344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40579938888549805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38559630513191223},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3261173963546753},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14662814140319824},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07151487469673157}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6830816268920898},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.647339403629303},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.5411438941955566},{"id":"https://openalex.org/C110812573","wikidata":"https://www.wikidata.org/wiki/Q175515","display_name":"Symbolic computation","level":2,"score":0.5387469530105591},{"id":"https://openalex.org/C8828549","wikidata":"https://www.wikidata.org/wiki/Q837924","display_name":"Bilinear form","level":2,"score":0.5235894918441772},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5209737420082092},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5037557482719421},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.49627047777175903},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.48276129364967346},{"id":"https://openalex.org/C142685569","wikidata":"https://www.wikidata.org/wiki/Q1086961","display_name":"Bilinear map","level":3,"score":0.4652365744113922},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.423037588596344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40579938888549805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38559630513191223},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3261173963546753},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14662814140319824},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07151487469673157},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-04772-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-04772-5_24","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.710.9117","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.710.9117","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://lbd.udc.es/Repository/Publications/Drafts/AlgforTesthe.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W134469455","https://openalex.org/W139427381","https://openalex.org/W574851726","https://openalex.org/W610133548","https://openalex.org/W982284242","https://openalex.org/W1922505179","https://openalex.org/W1976078780","https://openalex.org/W2039225816","https://openalex.org/W2039864462","https://openalex.org/W2063408879","https://openalex.org/W2068522823","https://openalex.org/W2092515797","https://openalex.org/W2094630731","https://openalex.org/W2118650120","https://openalex.org/W2135727140","https://openalex.org/W2156487801","https://openalex.org/W2527375000","https://openalex.org/W2606984140","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2946208069","https://openalex.org/W4242229754","https://openalex.org/W1994004144","https://openalex.org/W4200053212","https://openalex.org/W1963546854","https://openalex.org/W2031905258","https://openalex.org/W1968215728","https://openalex.org/W2063380974","https://openalex.org/W4387518145","https://openalex.org/W2015109384"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}