{"id":"https://openalex.org/W2088804960","doi":"https://doi.org/10.1016/0304-3975(81)90070-0","title":"On the algorithmic complexity of associative algebras","display_name":"On the algorithmic complexity of associative algebras","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W2088804960","doi":"https://doi.org/10.1016/0304-3975(81)90070-0","mag":"2088804960"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(81)90070-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(81)90070-0","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5113611143","display_name":"Alfredo C. Alder","orcid":null},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"A. Alder","raw_affiliation_strings":["Seminar f\u00fcr Angewandte Mathematik, Universit\u00e4t Z\u00fcrich, CH-8032 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik, Universit\u00e4t Z\u00fcrich, CH-8032 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007475314","display_name":"Volker Strassen","orcid":null},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"V. Strassen","raw_affiliation_strings":["Seminar f\u00fcr Angewandte Mathematik, Universit\u00e4t Z\u00fcrich, CH-8032 Z\u00fcrich, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Seminar f\u00fcr Angewandte Mathematik, Universit\u00e4t Z\u00fcrich, CH-8032 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I202697423"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":2.5085,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.91666667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"15","issue":"2","first_page":"201","last_page":"211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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/T12303","display_name":"Tensor decomposition and applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"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":0.9950000047683716,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9929999709129333,"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/associative-property","display_name":"Associative property","score":0.802727460861206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6757788062095642},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5943638682365417},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.48562636971473694},{"id":"https://openalex.org/keywords/associative-algebra","display_name":"Associative algebra","score":0.47997021675109863},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.46589767932891846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39068105816841125},{"id":"https://openalex.org/keywords/algebra-representation","display_name":"Algebra representation","score":0.3314182758331299},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3235468864440918},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.3089245557785034},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2858882248401642}],"concepts":[{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.802727460861206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6757788062095642},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5943638682365417},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.48562636971473694},{"id":"https://openalex.org/C51292594","wikidata":"https://www.wikidata.org/wiki/Q744960","display_name":"Associative algebra","level":5,"score":0.47997021675109863},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.46589767932891846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39068105816841125},{"id":"https://openalex.org/C14394260","wikidata":"https://www.wikidata.org/wiki/Q4723980","display_name":"Algebra representation","level":3,"score":0.3314182758331299},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3235468864440918},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.3089245557785034},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2858882248401642},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0304-3975(81)90070-0","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(81)90070-0","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W201320490","https://openalex.org/W1551631489","https://openalex.org/W1759800617","https://openalex.org/W1983419392","https://openalex.org/W1985896262","https://openalex.org/W1986272312","https://openalex.org/W1996440503","https://openalex.org/W2010537260","https://openalex.org/W2020013154","https://openalex.org/W2023724794","https://openalex.org/W2032765816","https://openalex.org/W2035476608","https://openalex.org/W2065815779","https://openalex.org/W2120489629","https://openalex.org/W2160563446","https://openalex.org/W2166323765","https://openalex.org/W6637910052","https://openalex.org/W6722982054"],"related_works":["https://openalex.org/W2592509875","https://openalex.org/W4382322727","https://openalex.org/W2907236292","https://openalex.org/W4285597834","https://openalex.org/W2041955825","https://openalex.org/W632738835","https://openalex.org/W4381740117","https://openalex.org/W1973798453","https://openalex.org/W2953116832","https://openalex.org/W2366177321"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}