{"id":"https://openalex.org/W1976905690","doi":"https://doi.org/10.1007/s11083-008-9078-4","title":"More on the Strength of Engeler\u2019s Lemma","display_name":"More on the Strength of Engeler\u2019s Lemma","publication_year":2008,"publication_date":"2008-02-01","ids":{"openalex":"https://openalex.org/W1976905690","doi":"https://doi.org/10.1007/s11083-008-9078-4","mag":"1976905690"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-008-9078-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-008-9078-4","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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/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":"Jan Paseka","raw_affiliation_strings":["Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a, 602 00, Brno, Czech Republic","Masaryk University"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Jan\u00e1\u010dkovo n\u00e1m. 2a, 602 00, Brno, Czech Republic","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Masaryk University","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":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08128398,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"1","first_page":"69","last_page":"77"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/lemma","display_name":"Lemma (botany)","score":0.9256289005279541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8730056285858154},{"id":"https://openalex.org/keywords/boolean-prime-ideal-theorem","display_name":"Boolean prime ideal theorem","score":0.5387495756149292},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5366904735565186},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5347074270248413},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5176578164100647},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4550325870513916},{"id":"https://openalex.org/keywords/maximal-ideal","display_name":"Maximal ideal","score":0.41236770153045654},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3930748701095581},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38536155223846436},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38081878423690796},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0584377646446228}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.9256289005279541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8730056285858154},{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.5387495756149292},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5366904735565186},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5347074270248413},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5176578164100647},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4550325870513916},{"id":"https://openalex.org/C118211362","wikidata":"https://www.wikidata.org/wiki/Q1203540","display_name":"Maximal ideal","level":3,"score":0.41236770153045654},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3930748701095581},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38536155223846436},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38081878423690796},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0584377646446228},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-008-9078-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-008-9078-4","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W87683291","https://openalex.org/W832387742","https://openalex.org/W1520068970","https://openalex.org/W1582269801","https://openalex.org/W1606832458","https://openalex.org/W1972997274","https://openalex.org/W1973390504","https://openalex.org/W1974771887","https://openalex.org/W2008347684","https://openalex.org/W2010365735","https://openalex.org/W2024602922","https://openalex.org/W2024788496","https://openalex.org/W2045952920","https://openalex.org/W2104663166","https://openalex.org/W2145581867","https://openalex.org/W2161608919","https://openalex.org/W2590090656","https://openalex.org/W2766487540","https://openalex.org/W4234033639","https://openalex.org/W4247311051","https://openalex.org/W4249603387","https://openalex.org/W4251649857"],"related_works":["https://openalex.org/W2415545053","https://openalex.org/W2768804469","https://openalex.org/W2992465729","https://openalex.org/W3136930153","https://openalex.org/W4253557187","https://openalex.org/W3198669146","https://openalex.org/W4313185199","https://openalex.org/W2951549393","https://openalex.org/W2064116562","https://openalex.org/W4297200220"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}