{"id":"https://openalex.org/W1598274903","doi":"https://doi.org/10.1007/11671404_6","title":"The Tensor Product as a Lattice of Regular\u00a0Galois\u00a0Connections","display_name":"The Tensor Product as a Lattice of Regular\u00a0Galois\u00a0Connections","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1598274903","doi":"https://doi.org/10.1007/11671404_6","mag":"1598274903"},"language":"en","primary_location":{"id":"doi:10.1007/11671404_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11671404_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5087579719","display_name":"Markus Kr\u00f6tzsch","orcid":"https://orcid.org/0000-0002-9172-2601"},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Markus Kr\u00f6tzsch","raw_affiliation_strings":["AIFB, Universit\u00e4t Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"AIFB, Universit\u00e4t Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040370450","display_name":"Grit Malik","orcid":null},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Grit Malik","raw_affiliation_strings":["Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algebra, Technische Universit\u00e4t Dresden, Germany","institution_ids":["https://openalex.org/I78650965"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087579719"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.4184,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.63336019,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"89","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9969000220298767,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9969000220298767,"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":0.9854999780654907,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/distributivity","display_name":"Distributivity","score":0.8378345966339111},{"id":"https://openalex.org/keywords/galois-connection","display_name":"Galois connection","score":0.7881942987442017},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.6203727722167969},{"id":"https://openalex.org/keywords/fundamental-theorem-of-galois-theory","display_name":"Fundamental theorem of Galois theory","score":0.5774874687194824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5427335500717163},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.481918603181839},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.47811025381088257},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.44831353425979614},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41602814197540283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3910141587257385},{"id":"https://openalex.org/keywords/galois-extension","display_name":"Galois extension","score":0.34876513481140137},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.3332313001155853},{"id":"https://openalex.org/keywords/distributive-property","display_name":"Distributive property","score":0.1385185420513153},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08159461617469788}],"concepts":[{"id":"https://openalex.org/C138390121","wikidata":"https://www.wikidata.org/wiki/Q5283219","display_name":"Distributivity","level":3,"score":0.8378345966339111},{"id":"https://openalex.org/C2777573902","wikidata":"https://www.wikidata.org/wiki/Q1491747","display_name":"Galois connection","level":2,"score":0.7881942987442017},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.6203727722167969},{"id":"https://openalex.org/C78562435","wikidata":"https://www.wikidata.org/wiki/Q766522","display_name":"Fundamental theorem of Galois theory","level":4,"score":0.5774874687194824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5427335500717163},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.481918603181839},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.47811025381088257},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.44831353425979614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41602814197540283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3910141587257385},{"id":"https://openalex.org/C26204071","wikidata":"https://www.wikidata.org/wiki/Q2020004","display_name":"Galois extension","level":3,"score":0.34876513481140137},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.3332313001155853},{"id":"https://openalex.org/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.1385185420513153},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08159461617469788},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11671404_6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11671404_6","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1496245333","https://openalex.org/W1503729935","https://openalex.org/W1525647423","https://openalex.org/W1762950854","https://openalex.org/W1977240479","https://openalex.org/W2010883554","https://openalex.org/W2093397547","https://openalex.org/W2122722863","https://openalex.org/W2136077062","https://openalex.org/W2196559987","https://openalex.org/W4250862392","https://openalex.org/W4255318870","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2189024741","https://openalex.org/W4394639372","https://openalex.org/W92122087","https://openalex.org/W2186274448","https://openalex.org/W1869545591","https://openalex.org/W2951859821","https://openalex.org/W4241779888","https://openalex.org/W2473700917","https://openalex.org/W2078989592","https://openalex.org/W2174459132"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
