{"id":"https://openalex.org/W2033424337","doi":"https://doi.org/10.1070/rm2010v065n02abeh004675","title":"Algebra of operators on the ring of polytopes and quasi-symmetric functions","display_name":"Algebra of operators on the ring of polytopes and quasi-symmetric functions","publication_year":2010,"publication_date":"2010-07-27","ids":{"openalex":"https://openalex.org/W2033424337","doi":"https://doi.org/10.1070/rm2010v065n02abeh004675","mag":"2033424337"},"language":"en","primary_location":{"id":"doi:10.1070/rm2010v065n02abeh004675","doi":"https://doi.org/10.1070/rm2010v065n02abeh004675","is_oa":false,"landing_page_url":"https://doi.org/10.1070/rm2010v065n02abeh004675","pdf_url":null,"source":{"id":"https://openalex.org/S132681663","display_name":"Russian Mathematical Surveys","issn_l":"0036-0279","issn":["0036-0279","1468-4829","1473-2009"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Russian Mathematical Surveys","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5088971896","display_name":"Victor Matveevich Buchstaber","orcid":"https://orcid.org/0000-0003-0083-6599","observed_orcids":["https://orcid.org/0000-0003-0083-6599"]},"institutions":[{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035"]},{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Viktor M Buchstaber","raw_affiliation_strings":["Steklov Mathematical Institute, Russian Academy of\u00a0Sciences, Moscow                                            , Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Russian Academy of\u00a0Sciences, Moscow                                            , Russia","institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012742710","display_name":"Nikolai Yur'evich Erokhovets","orcid":"https://orcid.org/0000-0002-4440-8521","observed_orcids":["https://orcid.org/0000-0002-4440-8521"]},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nikolai Yu Erokhovets","raw_affiliation_strings":["M.V. Lomonosov Moscow State University, Moscow, Russian Federation"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"M.V. Lomonosov Moscow State University, Moscow, Russian Federation","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.279,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.7279348,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"65","issue":"2","first_page":"381","last_page":"383"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":9.999999747378752e-05,"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"}},{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":9.999999747378752e-05,"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/polytopes","display_name":"polytopes","score":0.75},{"id":"https://openalex.org/keywords/quasisymmetric-functions","display_name":"quasisymmetric functions","score":0.8870000243186951},{"id":"https://openalex.org/keywords/symmetric-functions","display_name":"symmetric functions","score":0.41200000047683716}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8855577707290649},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.764583945274353},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.6049275994300842},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5867663621902466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.436541348695755},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.4177156090736389},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.29576218128204346},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1070/rm2010v065n02abeh004675","doi":"https://doi.org/10.1070/rm2010v065n02abeh004675","is_oa":false,"landing_page_url":"https://doi.org/10.1070/rm2010v065n02abeh004675","pdf_url":null,"source":{"id":"https://openalex.org/S132681663","display_name":"Russian Mathematical Surveys","issn_l":"0036-0279","issn":["0036-0279","1468-4829","1473-2009"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-c","jufo-1","norway-1","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Russian Mathematical Surveys","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1659648688","https://openalex.org/W1990649539","https://openalex.org/W2054009182","https://openalex.org/W2063677908","https://openalex.org/W2084998713","https://openalex.org/W4238232089"],"related_works":["https://openalex.org/W7097041257","https://openalex.org/W2502587121","https://openalex.org/W7095564570","https://openalex.org/W1622085709","https://openalex.org/W7100287844","https://openalex.org/W2076513464","https://openalex.org/W2326807247","https://openalex.org/W647208150","https://openalex.org/W4290801825","https://openalex.org/W2499234072"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
