{"id":"https://openalex.org/W4400648338","doi":"https://doi.org/10.1145/3666000.3669681","title":"Subalgebra and Khovanskii bases equivalence","display_name":"Subalgebra and Khovanskii bases equivalence","publication_year":2024,"publication_date":"2024-07-15","ids":{"openalex":"https://openalex.org/W4400648338","doi":"https://doi.org/10.1145/3666000.3669681"},"language":"en","primary_location":{"id":"doi:10.1145/3666000.3669681","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3666000.3669681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 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/A5093917284","display_name":"Colin Alstad","orcid":"https://orcid.org/0009-0001-6975-8691"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Colin Alstad","raw_affiliation_strings":["Clemson University, USA"],"affiliations":[{"raw_affiliation_string":"Clemson University, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077430174","display_name":"Michael Burr","orcid":"https://orcid.org/0000-0001-8921-4870"},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Burr","raw_affiliation_strings":["School of Mathematical and Statistical Sciences, Clemson University, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematical and Statistical Sciences, Clemson University, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102998795","display_name":"Oliver Clarke","orcid":"https://orcid.org/0000-0003-1191-541X"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Oliver Clarke","raw_affiliation_strings":["University of Edinburgh, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of Edinburgh, United Kingdom","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113289413","display_name":"Tim Duff","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tim Duff","raw_affiliation_strings":["University of Washington, USA"],"affiliations":[{"raw_affiliation_string":"University of Washington, USA","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5093917284"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21775417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"108","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9990000128746033,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9990000128746033,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9986000061035156,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9980999827384949,"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/equivalence","display_name":"Equivalence (formal languages)","score":0.6498638391494751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.530668318271637},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.5207421779632568},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4008375406265259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3395647406578064},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2748952805995941},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22893297672271729}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6498638391494751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.530668318271637},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.5207421779632568},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4008375406265259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3395647406578064},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2748952805995941},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22893297672271729}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3666000.3669681","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3666000.3669681","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2024 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1491705057","https://openalex.org/W1979312155","https://openalex.org/W2013989688","https://openalex.org/W2050626380","https://openalex.org/W2962901410","https://openalex.org/W2964023259","https://openalex.org/W3041353521","https://openalex.org/W3081973587","https://openalex.org/W4245313742","https://openalex.org/W4382405028"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W1670763528","https://openalex.org/W4327856465","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W4385699824","https://openalex.org/W2042560047"],"abstract_inverted_index":{"The":[0],"main":[1],"results":[2],"of":[3,14,20,29,49,57,67,84,103],"this":[4],"paper":[5],"establish":[6],"a":[7],"partial":[8],"correspondence":[9],"between":[10,44],"two":[11],"previously-studied":[12],"analogues":[13],"Gr\u00f6bner":[15],"bases":[16,26,34,69,76,91,94],"in":[17],"the":[18,42,45,50,53,58,82,100],"setting":[19],"algebras:":[21],"namely,":[22],"subalgebra":[23,75,93],"(aka":[24],"SAGBI)":[25],"for":[27,35],"quotients":[28],"polynomial":[30],"rings":[31],"and":[32,52,77],"Khovanskii":[33,68,90],"valued":[36],"algebras.":[37],"We":[38,79],"aim":[39],"to":[40,99],"bridge":[41],"gap":[43],"concrete,":[46],"computational":[47],"aspects":[48],"former":[51],"more":[54,97],"abstract":[55],"theory":[56],"latter.":[59],"Our":[60],"philosophy":[61],"is":[62],"that":[63],"most":[64],"interesting":[65],"examples":[66],"can":[70],"also":[71,80],"be":[72],"realized":[73],"as":[74,92],"vice-versa.":[78],"discuss":[81],"computation":[83],"Newton-Okounkov":[85],"bodies,":[86],"illustrating":[87],"how":[88],"interpreting":[89],"makes":[95],"them":[96],"amenable":[98],"existing":[101],"tools":[102],"computer":[104],"algebra.":[105]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
