{"id":"https://openalex.org/W2963030863","doi":"https://doi.org/10.1142/s0218196711006546","title":"ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES","display_name":"ON INVOLUTIONS OF THE SYMMETRIC GROUP AND CONGRUENCE B-ORBITS OF ANTI-SYMMETRIC MATRICES","publication_year":2011,"publication_date":"2011-03-28","ids":{"openalex":"https://openalex.org/W2963030863","doi":"https://doi.org/10.1142/s0218196711006546","mag":"2963030863"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196711006546","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006546","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-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/A5071604480","display_name":"Yonah Cherniavsky","orcid":null},"institutions":[{"id":"https://openalex.org/I52170813","display_name":"Ariel University","ror":"https://ror.org/03nz8qe97","country_code":"IL","type":"education","lineage":["https://openalex.org/I52170813"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"YONAH CHERNIAVSKY","raw_affiliation_strings":["Department of Mathematics and Computer Science, Ariel University Center of Samaria, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Ariel University Center of Samaria, Israel","institution_ids":["https://openalex.org/I52170813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071604480"],"corresponding_institution_ids":["https://openalex.org/I52170813"],"apc_list":null,"apc_paid":null,"fwci":1.7904,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8415471,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"21","issue":"05","first_page":"841","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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":0.9998000264167786,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9993000030517578,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9253305196762085},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8541156053543091},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7823761701583862},{"id":"https://openalex.org/keywords/congruence","display_name":"Congruence (geometry)","score":0.7331819534301758},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.7322249412536621},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6133986711502075},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5331736207008362},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.419778048992157},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3972102403640747}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9253305196762085},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8541156053543091},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7823761701583862},{"id":"https://openalex.org/C132074034","wikidata":"https://www.wikidata.org/wiki/Q154210","display_name":"Congruence (geometry)","level":2,"score":0.7331819534301758},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.7322249412536621},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6133986711502075},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5331736207008362},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.419778048992157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3972102403640747},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196711006546","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196711006546","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W112671161","https://openalex.org/W129827355","https://openalex.org/W1516372139","https://openalex.org/W1519650997","https://openalex.org/W1537258143","https://openalex.org/W1992006307","https://openalex.org/W2043888222","https://openalex.org/W2062464706","https://openalex.org/W2097560058","https://openalex.org/W2131397279","https://openalex.org/W2187714265","https://openalex.org/W2952289402"],"related_works":["https://openalex.org/W2054008041","https://openalex.org/W2952295216","https://openalex.org/W4299355653","https://openalex.org/W802045817","https://openalex.org/W4221140188","https://openalex.org/W4301664573","https://openalex.org/W2963199736","https://openalex.org/W1645694748","https://openalex.org/W2952289402","https://openalex.org/W1886085160"],"abstract_inverted_index":{"We":[0,16,38],"present":[1],"the":[2,24,30,35,43],"poset":[3],"of":[4,8,14,26,32,34,46],"Borel":[5],"congruence":[6],"classes":[7,28],"anti-symmetric":[9],"matrices":[10],"ordered":[11],"by":[12],"containment":[13],"closures.":[15],"show":[17],"that":[18],"there":[19],"exists":[20],"a":[21],"bijection":[22],"between":[23],"set":[25,31],"these":[27],"and":[29],"involutions":[33],"symmetric":[36],"group.":[37],"give":[39],"two":[40],"formulas":[41],"for":[42],"rank":[44],"function":[45],"this":[47],"poset.":[48]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}