{"id":"https://openalex.org/W2049997035","doi":"https://doi.org/10.1007/3-540-62950-5_83","title":"Opal: A system for computing noncommutative gr\u00f6bner bases","display_name":"Opal: A system for computing noncommutative gr\u00f6bner bases","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2049997035","doi":"https://doi.org/10.1007/3-540-62950-5_83","mag":"2049997035"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-62950-5_83","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62950-5_83","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":"conference-paper","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/A5039389549","display_name":"Edward L. Green","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Edward L. Green","raw_affiliation_strings":["Department of Mathematics, VPI&SU, Blacksburg, USA","VPI&SU"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, VPI&SU, Blacksburg, USA","institution_ids":[]},{"raw_affiliation_string":"VPI&SU","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057291575","display_name":"Lenwood S. Heath","orcid":"https://orcid.org/0000-0003-1608-431X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lenwood S. Heath","raw_affiliation_strings":["Department of Computer Science, VPI&SU, Blacksburg, USA","VPI&SU"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, VPI&SU, Blacksburg, USA","institution_ids":[]},{"raw_affiliation_string":"VPI&SU","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080434535","display_name":"Benjamin J. Keller","orcid":"https://orcid.org/0000-0001-7377-6051"},"institutions":[{"id":"https://openalex.org/I917168660","display_name":"Montana Technological University","ror":"https://ror.org/03ttqt747","country_code":"US","type":"education","lineage":["https://openalex.org/I917168660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Benjamin J. Keller","raw_affiliation_strings":["Department of Computer Science, Montana Tech, Butte, USA","Montana Tech"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Montana Tech, Butte, USA","institution_ids":["https://openalex.org/I917168660"]},{"raw_affiliation_string":"Montana Tech","institution_ids":["https://openalex.org/I917168660"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.1494,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94594595,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"331","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9988999962806702,"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":0.9988999962806702,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9988999962806702,"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/T11130","display_name":"Coding theory and cryptography","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/computer-science","display_name":"Computer science","score":0.8094576597213745},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.5220329761505127},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4453999698162079},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.38028237223625183},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3648551404476166},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34762948751449585},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.3241620659828186},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10349041223526001},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06836792826652527}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8094576597213745},{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.5220329761505127},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4453999698162079},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.38028237223625183},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3648551404476166},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34762948751449585},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.3241620659828186},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10349041223526001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06836792826652527}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-62950-5_83","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-62950-5_83","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":7,"referenced_works":["https://openalex.org/W53412181","https://openalex.org/W55048643","https://openalex.org/W1589951597","https://openalex.org/W2018951244","https://openalex.org/W2023007275","https://openalex.org/W2093890854","https://openalex.org/W2118745196"],"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":2025,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
