{"id":"https://openalex.org/W1592439930","doi":"https://doi.org/10.1007/3-540-15984-3_243","title":"Symbol representations of noncommutative algebras","display_name":"Symbol representations of noncommutative algebras","publication_year":1985,"publication_date":"1985-01-01","ids":{"openalex":"https://openalex.org/W1592439930","doi":"https://doi.org/10.1007/3-540-15984-3_243","mag":"1592439930"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-15984-3_243","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-15984-3_243","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/A5030553160","display_name":"W. Lassner","orcid":null},"institutions":[{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"W. Lassner","raw_affiliation_strings":["Naturwissenschaftlich-Theoretisches Zentrum Sektion Mathematik, Karl-Marx-Universit\u00e4t, Leipzig, GDR","Karl-Marx-Universit\u00e4t"],"affiliations":[{"raw_affiliation_string":"Naturwissenschaftlich-Theoretisches Zentrum Sektion Mathematik, Karl-Marx-Universit\u00e4t, Leipzig, GDR","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Karl-Marx-Universit\u00e4t","institution_ids":["https://openalex.org/I926574661"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5030553160"],"corresponding_institution_ids":["https://openalex.org/I926574661"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.29398148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"99","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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/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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.805607259273529},{"id":"https://openalex.org/keywords/symbol","display_name":"Symbol (formal)","score":0.7461216449737549},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7112109661102295},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5193554162979126},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.41992321610450745},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3739182651042938},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.29824382066726685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19529280066490173},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13377240300178528}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.805607259273529},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.7461216449737549},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7112109661102295},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5193554162979126},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.41992321610450745},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3739182651042938},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.29824382066726685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19529280066490173},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13377240300178528}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-15984-3_243","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-15984-3_243","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W185924885","https://openalex.org/W1556068717","https://openalex.org/W1971527405","https://openalex.org/W1974547277","https://openalex.org/W2010550621","https://openalex.org/W2012017856","https://openalex.org/W2017858751","https://openalex.org/W2041237513","https://openalex.org/W2098020860","https://openalex.org/W2143048602","https://openalex.org/W2170649178","https://openalex.org/W2184093502","https://openalex.org/W2579777069","https://openalex.org/W4238858352"],"related_works":["https://openalex.org/W3111851529","https://openalex.org/W4210820417","https://openalex.org/W1657799247","https://openalex.org/W1661873676","https://openalex.org/W2949772116","https://openalex.org/W2034563384","https://openalex.org/W4297663571","https://openalex.org/W3121296545","https://openalex.org/W2080153006","https://openalex.org/W1924998569"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}