{"id":"https://openalex.org/W3045732501","doi":"https://doi.org/10.1145/3373207.3404056","title":"Letterplace","display_name":"Letterplace","publication_year":2020,"publication_date":"2020-07-20","ids":{"openalex":"https://openalex.org/W3045732501","doi":"https://doi.org/10.1145/3373207.3404056","mag":"3045732501"},"language":"en","primary_location":{"id":"doi:10.1145/3373207.3404056","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5059697607","display_name":"Viktor Levandovskyy","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Viktor Levandovskyy","raw_affiliation_strings":["Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Aachen University, Aachen, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076709218","display_name":"Hans Sch\u00f6nemann","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Hans Sch\u00f6nemann","raw_affiliation_strings":["TU Kaiserslautern, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"TU Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044241033","display_name":"Karim Abou Zeid","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karim Abou Zeid","raw_affiliation_strings":["Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"Aachen University, Aachen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059697607"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8663,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.7962421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"305","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9991999864578247,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9990000128746033,"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/hilberts-syzygy-theorem","display_name":"Hilbert's syzygy theorem","score":0.8955556154251099},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.6533344984054565},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.593551754951477},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5421808958053589},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5063930749893188},{"id":"https://openalex.org/keywords/commutative-algebra","display_name":"Commutative algebra","score":0.4858412444591522},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.4690575897693634},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4607570767402649},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.45911353826522827},{"id":"https://openalex.org/keywords/ideal-theory","display_name":"Ideal theory","score":0.41951602697372437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41472336649894714},{"id":"https://openalex.org/keywords/commutative-ring","display_name":"Commutative ring","score":0.19765537977218628}],"concepts":[{"id":"https://openalex.org/C55101346","wikidata":"https://www.wikidata.org/wiki/Q85776755","display_name":"Hilbert's syzygy theorem","level":2,"score":0.8955556154251099},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.6533344984054565},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.593551754951477},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5421808958053589},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5063930749893188},{"id":"https://openalex.org/C78313660","wikidata":"https://www.wikidata.org/wiki/Q727659","display_name":"Commutative algebra","level":2,"score":0.4858412444591522},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.4690575897693634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4607570767402649},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45911353826522827},{"id":"https://openalex.org/C23573486","wikidata":"https://www.wikidata.org/wiki/Q1952929","display_name":"Ideal theory","level":4,"score":0.41951602697372437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41472336649894714},{"id":"https://openalex.org/C161491579","wikidata":"https://www.wikidata.org/wiki/Q858656","display_name":"Commutative ring","level":3,"score":0.19765537977218628},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3373207.3404056","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3373207.3404056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3432697646","display_name":null,"funder_award_id":"CRC/Transregio 195","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W31792682","https://openalex.org/W1649405732","https://openalex.org/W1976529759","https://openalex.org/W1976677460","https://openalex.org/W1982125594","https://openalex.org/W1984067593","https://openalex.org/W2000191845","https://openalex.org/W2005302954","https://openalex.org/W2024479048","https://openalex.org/W2028679097","https://openalex.org/W2039225816","https://openalex.org/W2039864462","https://openalex.org/W2109805516","https://openalex.org/W2175098281","https://openalex.org/W2767133026","https://openalex.org/W2954486716","https://openalex.org/W3010509178","https://openalex.org/W3043754333","https://openalex.org/W4254045038","https://openalex.org/W4298227433"],"related_works":["https://openalex.org/W1576049389","https://openalex.org/W4288570797","https://openalex.org/W1974287725","https://openalex.org/W4295253537","https://openalex.org/W1723526129","https://openalex.org/W2795912694","https://openalex.org/W2063752695","https://openalex.org/W2059672880","https://openalex.org/W2146163384","https://openalex.org/W1986420807"],"abstract_inverted_index":{"We":[0,81,173],"present":[1,66,102],"the":[2,6,36,62,74,90,94,151,157,185,191,194],"newest":[3],"release":[4],"of":[5,8,39,58,87,96,116,153,170,193],"subsystem":[7],"Singular":[9],"called":[10],"Letterplace":[11,37],"which":[12,88,165],"exists":[13],"since":[14],"2009.":[15],"It":[16],"is":[17,148,166],"devoted":[18,149],"to":[19,46,55,139,150,156],"computations":[20],"with":[21,76,177],"finitely":[22],"presented":[23],"associative":[24],"algebras":[25,34],"over":[26,32],"fields":[27],"and":[28,42,54,78,111,122,125,133,137,180],"offers":[29],"Gr\u00f6bner(-Shirshov)":[30],"bases":[31,110,155],"free":[33],"via":[35,112],"correspondence":[38],"La":[40],"Scala":[41],"Levandovskyy.":[43],"This":[44],"allows":[45],"use":[47],"highly":[48],"tuned":[49],"commutative":[50],"data":[51],"structures":[52],"internally":[53],"reuse":[56],"parts":[57],"existing":[59],"algorithms":[60],"in":[61,93,145,159,184],"non-commutative":[63],"situation.":[64],"The":[65],"version":[67],"has":[68],"been":[69],"deeply":[70],"reengineered,":[71],"based":[72],"on":[73,175,181],"experience":[75],"earlier":[77],"experimental":[79],"versions.":[80],"offer":[82],"an":[83],"unprecedented":[84],"functionality,":[85],"some":[86,182],"for":[89,104,126,135],"first":[91],"time":[92],"history":[95],"computer":[97],"algebra.":[98],"In":[99],"particular,":[100],"we":[101],"tools":[103],"elimination":[105,117],"theory":[106,120],"(via":[107],"truncated":[108],"Gr\u00f6bner":[109,154],"supporting":[113],"several":[114],"kinds":[115],"orderings),":[118],"dimension":[119],"(Gel'fand-Kirillov":[121],"global":[123],"dimension),":[124],"homological":[127],"algebra":[128],"(such":[129],"as":[130],"syzygy":[131],"bimodules":[132],"lifts":[134],"ideals":[136],"bimodules)":[138],"name":[140],"a":[141,168],"few.":[142],"Another":[143],"article":[144],"this":[146,171],"issue":[147],"extension":[152],"coefficients":[158],"principal":[160],"ideal":[161],"rings":[162],"including":[163],"Z,":[164],"also":[167],"part":[169],"release.":[172],"report":[174],"comparison":[176],"other":[178],"systems":[179],"advances":[183],"theory.":[186],"Quite":[187],"nontrivial":[188],"examples":[189],"illustrate":[190],"abilities":[192],"system.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2020-08-03T00:00:00"}
