{"id":"https://openalex.org/W2071009871","doi":"https://doi.org/10.1016/s1571-0661(05)80318-4","title":"Hilbert Q-modules and Nuclear Ideals in the Category of V-semilattices with a Duality","display_name":"Hilbert Q-modules and Nuclear Ideals in the Category of V-semilattices with a Duality","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2071009871","doi":"https://doi.org/10.1016/s1571-0661(05)80318-4","mag":"2071009871"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0661(05)80318-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80318-4","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.1016/s1571-0661(05)80318-4","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031218124","display_name":"Jan Paseka","orcid":"https://orcid.org/0000-0001-6658-6647"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"J. Paseka","raw_affiliation_strings":["Department of Mathematics, Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a, 66295 Brno, Czech Republic","Department of Mathematics Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a 66295 Brno, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a, 66295 Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Department of Mathematics Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a 66295 Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031218124"],"corresponding_institution_ids":["https://openalex.org/I21449261"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.19841834,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"29","issue":null,"first_page":"240","last_page":"258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9923999905586243,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9923999905586243,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9571999907493591,"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":0.9496999979019165,"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/duality","display_name":"Duality (order theory)","score":0.7408807277679443},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6206923127174377},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5934341549873352},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5194898843765259},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5087762475013733},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.48303088545799255},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.42449212074279785},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3610338270664215},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.14108169078826904},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0696212649345398},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.04860910773277283}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7408807277679443},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6206923127174377},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5934341549873352},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5194898843765259},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5087762475013733},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48303088545799255},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.42449212074279785},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3610338270664215},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.14108169078826904},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0696212649345398},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.04860910773277283},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0661(05)80318-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80318-4","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/s1571-0661(05)80318-4","is_oa":true,"landing_page_url":"https://doi.org/10.1016/s1571-0661(05)80318-4","pdf_url":null,"source":{"id":"https://openalex.org/S50368787","display_name":"Electronic Notes in Theoretical Computer Science","issn_l":"1571-0661","issn":["1571-0661"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W186043453","https://openalex.org/W189419761","https://openalex.org/W1527487696","https://openalex.org/W1567412998","https://openalex.org/W1965338471","https://openalex.org/W2051110641","https://openalex.org/W2086037765","https://openalex.org/W2095436832","https://openalex.org/W2139335522","https://openalex.org/W2153387975","https://openalex.org/W2166666657","https://openalex.org/W2911865844","https://openalex.org/W2912349384","https://openalex.org/W4238692953","https://openalex.org/W6631759978"],"related_works":["https://openalex.org/W2590472383","https://openalex.org/W2383873009","https://openalex.org/W2393580911","https://openalex.org/W2212184297","https://openalex.org/W3156456913","https://openalex.org/W2390945180","https://openalex.org/W2394052932","https://openalex.org/W3122644328","https://openalex.org/W2164080590","https://openalex.org/W1019837216"],"abstract_inverted_index":{"The":[0],"basics":[1],"of":[2,5,56],"the":[3,32,40,53],"theory":[4],"Hilbert":[6,19],"Q-modules":[7],"are":[8,63],"established.":[9],"Using":[10],"this":[11,57],"approach":[12],"to":[13,37],"V-semilattices":[14],"with":[15],"a":[16,23],"duality":[17],"i.e.":[18],"2-modules,":[20],"we":[21],"describe":[22],"nuclear":[24,29],"traced":[25],"ideal":[26],"and":[27,46],"characterize":[28],"maps":[30],"in":[31],"respective":[33],"category.":[34],"We":[35],"want":[36],"thank":[38],"here":[39],"anonymous":[41],"referee":[42],"for":[43],"many":[44],"valuable":[45],"perceptive":[47],"comments":[48],"that":[49],"allow":[50],"highly":[51],"improve":[52],"final":[54],"version":[55],"paper.":[58],"Paul":[59],"Taylor's":[60],"diagram":[61],"macros":[62],"acknowledged.":[64]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}