{"id":"https://openalex.org/W4415774066","doi":"https://doi.org/10.1007/s00153-025-00994-1","title":"Homogeneity, P-like properties of ideals and orders between ideals","display_name":"Homogeneity, P-like properties of ideals and orders between ideals","publication_year":2025,"publication_date":"2025-11-02","ids":{"openalex":"https://openalex.org/W4415774066","doi":"https://doi.org/10.1007/s00153-025-00994-1"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-025-00994-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-025-00994-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-025-00994-1.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00153-025-00994-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004603643","display_name":"Krzysztof Kowitz","orcid":"https://orcid.org/0000-0003-1878-6059"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Kowitz","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gda\u0144sk, ul. Wita Stwosza 57, 80-308, Gda\u0144sk, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gda\u0144sk, ul. Wita Stwosza 57, 80-308, Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I40413290","https://openalex.org/I4210137370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082313461","display_name":"Jacek Tryba","orcid":"https://orcid.org/0000-0003-4799-8894"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]},{"id":"https://openalex.org/I4210137370","display_name":"Institute of Mathematics","ror":"https://ror.org/04hrrh248","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210137370","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jacek Tryba","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gda\u0144sk, ul. Wita Stwosza 57, 80-308, Gda\u0144sk, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mathematics, Physics and Informatics, University of Gda\u0144sk, ul. Wita Stwosza 57, 80-308, Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I40413290","https://openalex.org/I4210137370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004603643"],"corresponding_institution_ids":["https://openalex.org/I40413290","https://openalex.org/I4210137370"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.37894737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"2","first_page":"151","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12069","display_name":"Commutative Algebra and Its Applications","score":0.8537999987602234,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.8537999987602234,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.10490000247955322,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.008100000210106373,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6432999968528748},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5644999742507935},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4645000100135803},{"id":"https://openalex.org/keywords/fractional-ideal","display_name":"Fractional ideal","score":0.4456999897956848},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.29269999265670776},{"id":"https://openalex.org/keywords/maximal-ideal","display_name":"Maximal ideal","score":0.29179999232292175}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8664000034332275},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6432999968528748},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5644999742507935},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C182817911","wikidata":"https://www.wikidata.org/wiki/Q1497184","display_name":"Fractional ideal","level":3,"score":0.4456999897956848},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39629998803138733},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3862000107765198},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.29269999265670776},{"id":"https://openalex.org/C118211362","wikidata":"https://www.wikidata.org/wiki/Q1203540","display_name":"Maximal ideal","level":3,"score":0.29179999232292175},{"id":"https://openalex.org/C175958551","wikidata":"https://www.wikidata.org/wiki/Q872088","display_name":"Boolean prime ideal theorem","level":3,"score":0.2897999882698059},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27469998598098755},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.26980000734329224},{"id":"https://openalex.org/C45804927","wikidata":"https://www.wikidata.org/wiki/Q17098947","display_name":"Minimal ideal","level":4,"score":0.2547999918460846}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-025-00994-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-025-00994-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-025-00994-1.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00153-025-00994-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00153-025-00994-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00153-025-00994-1.pdf","source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415774066.pdf","grobid_xml":"https://content.openalex.org/works/W4415774066.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W2001766434","https://openalex.org/W2044930053","https://openalex.org/W2077618423","https://openalex.org/W2345976374","https://openalex.org/W2495713616","https://openalex.org/W2551721738","https://openalex.org/W2572550042","https://openalex.org/W2600348093","https://openalex.org/W2611987468","https://openalex.org/W2623655353","https://openalex.org/W2962934588","https://openalex.org/W4200209649","https://openalex.org/W4283700132","https://openalex.org/W4391749790","https://openalex.org/W4396616122","https://openalex.org/W4405911266"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,30,38],"give":[2],"characterizations":[3],"for":[4],"the":[5,32,47],"thin":[6,10],"ideal":[7],"and":[8,18,50],"almost":[9],"ideal,":[11],"which":[12],"were":[13],"studied":[14],"by":[15],"J\u00f6rg":[16],"Brendle":[17],"Jana":[19],"Fla\u0161kov\u00e1":[20],"in":[21,46],"their":[22],"paper":[23],"Brendle,":[24],"J.":[25],"236":[26],"(3),":[27],"201\u2013245":[28],"(2017).":[29],"check":[31],"various":[33],"properties":[34],"of":[35],"selected":[36],"ideals.":[37],"also":[39],"verify":[40],"whether":[41],"these":[42],"ideals":[43],"are":[44],"comparable":[45],"Rudin-Blass":[48],"order":[49],"Rudin-Keisler":[51],"order.":[52],"Moreover,":[53],"we":[54],"present":[55],"a":[56],"negative":[57],"answer":[58],"to":[59],"[Filip\u00f3w,":[60],"R.":[61],"1\u201348":[62],"(2024)":[63],"Question":[64],"8.8(1)].":[65]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-11-02T00:00:00"}