{"id":"https://openalex.org/W1989292140","doi":"https://doi.org/10.1142/s0218196798000119","title":"On Pointlike Sets and Joins of Pseudovarieties","display_name":"On Pointlike Sets and Joins of Pseudovarieties","publication_year":1998,"publication_date":"1998-04-01","ids":{"openalex":"https://openalex.org/W1989292140","doi":"https://doi.org/10.1142/s0218196798000119","mag":"1989292140"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196798000119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196798000119","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/A5056602969","display_name":"Benjamin Steinberg","orcid":"https://orcid.org/0000-0003-3636-4255"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Benjamin Steinberg","raw_affiliation_strings":["Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at Berkeley, Berkeley, CA 94720, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5056602969"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":7.8533,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.97897153,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"08","issue":"02","first_page":"203","last_page":"231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9975000023841858,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9812999963760376,"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/joins","display_name":"Joins","score":0.8774107098579407},{"id":"https://openalex.org/keywords/join","display_name":"Join (topology)","score":0.8146954774856567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6726664900779724},{"id":"https://openalex.org/keywords/wreath-product","display_name":"Wreath product","score":0.626120388507843},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5913116931915283},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.5096182823181152},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30941668152809143},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24092701077461243},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19797390699386597},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07754489779472351}],"concepts":[{"id":"https://openalex.org/C2778692605","wikidata":"https://www.wikidata.org/wiki/Q4041866","display_name":"Joins","level":2,"score":0.8774107098579407},{"id":"https://openalex.org/C2776124973","wikidata":"https://www.wikidata.org/wiki/Q3183033","display_name":"Join (topology)","level":2,"score":0.8146954774856567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6726664900779724},{"id":"https://openalex.org/C95635736","wikidata":"https://www.wikidata.org/wiki/Q1786640","display_name":"Wreath product","level":3,"score":0.626120388507843},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5913116931915283},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.5096182823181152},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30941668152809143},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24092701077461243},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19797390699386597},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07754489779472351},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196798000119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196798000119","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":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1968852331","https://openalex.org/W1981565742","https://openalex.org/W2002083342","https://openalex.org/W2005100072","https://openalex.org/W2017208950","https://openalex.org/W2022794917","https://openalex.org/W2032083768","https://openalex.org/W2038638040","https://openalex.org/W2039274884","https://openalex.org/W2046268252","https://openalex.org/W2053731602","https://openalex.org/W2167010548"],"related_works":["https://openalex.org/W2393491644","https://openalex.org/W650102067","https://openalex.org/W4206577045","https://openalex.org/W3086237447","https://openalex.org/W1550806730","https://openalex.org/W1496672428","https://openalex.org/W2589740103","https://openalex.org/W3033055359","https://openalex.org/W2172084996","https://openalex.org/W1966967794"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,28],"give":[4],"a":[5,8,11,26,30],"criterion":[6,31],"for":[7,16,32,43],"subset":[9],"of":[10,22,37],"semigroup":[12],"to":[13],"be":[14],"pointlike":[15],"the":[17,35],"join":[18,36],"or":[19],"wreath":[20],"product":[21],"two":[23,38],"pseudovarieties.":[24,39],"As":[25],"consequence":[27],"obtain":[29],"membership":[33],"in":[34],"Applications":[40],"include":[41],"pointlikes":[42],"J":[44],"\u2228":[45],"G.":[46]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}