{"id":"https://openalex.org/W2042902276","doi":"https://doi.org/10.1007/s00500-009-0412-6","title":"Riesz ideals in generalized pseudo effect algebras and in their unitizations","display_name":"Riesz ideals in generalized pseudo effect algebras and in their unitizations","publication_year":2009,"publication_date":"2009-03-18","ids":{"openalex":"https://openalex.org/W2042902276","doi":"https://doi.org/10.1007/s00500-009-0412-6","mag":"2042902276"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-009-0412-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0412-6","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","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/A5100693346","display_name":"Yongjian Xie","orcid":"https://orcid.org/0000-0003-2925-9684"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongjian Xie","raw_affiliation_strings":["College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi\u2019an, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5115604557","display_name":"Yongming Li","orcid":"https://orcid.org/0000-0001-8038-008X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongming Li","raw_affiliation_strings":["College of Computer Science, Shaanxi Normal University, 710062, Xi\u2019an, China","College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science, Shaanxi Normal University, 710062, Xi\u2019an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Mathematics and Information Science, Shaanxi Normal University, 710062, Xi\u2019an, China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.3545,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.61628845,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"14","issue":"4","first_page":"387","last_page":"398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":1.0,"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":1.0,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9983999729156494,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8369497060775757},{"id":"https://openalex.org/keywords/riesz-representation-theorem","display_name":"Riesz representation theorem","score":0.7191116809844971},{"id":"https://openalex.org/keywords/m.-riesz-extension-theorem","display_name":"M. Riesz extension theorem","score":0.6821191310882568},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.5711150169372559},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.566945493221283},{"id":"https://openalex.org/keywords/congruence-relation","display_name":"Congruence relation","score":0.559701144695282},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5479882955551147},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.5069258809089661},{"id":"https://openalex.org/keywords/riesz-potential","display_name":"Riesz potential","score":0.47631725668907166},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4564334452152252},{"id":"https://openalex.org/keywords/riesz-transform","display_name":"Riesz transform","score":0.4481911063194275},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4339657723903656},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4265814423561096},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0566025972366333}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8369497060775757},{"id":"https://openalex.org/C113675457","wikidata":"https://www.wikidata.org/wiki/Q1357684","display_name":"Riesz representation theorem","level":2,"score":0.7191116809844971},{"id":"https://openalex.org/C56969512","wikidata":"https://www.wikidata.org/wiki/Q3527217","display_name":"M. Riesz extension theorem","level":2,"score":0.6821191310882568},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.5711150169372559},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.566945493221283},{"id":"https://openalex.org/C9973445","wikidata":"https://www.wikidata.org/wiki/Q8349849","display_name":"Congruence relation","level":2,"score":0.559701144695282},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5479882955551147},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.5069258809089661},{"id":"https://openalex.org/C189987565","wikidata":"https://www.wikidata.org/wiki/Q7333166","display_name":"Riesz potential","level":2,"score":0.47631725668907166},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4564334452152252},{"id":"https://openalex.org/C82997116","wikidata":"https://www.wikidata.org/wiki/Q7333169","display_name":"Riesz transform","level":2,"score":0.4481911063194275},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4339657723903656},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4265814423561096},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0566025972366333},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"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/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-009-0412-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-009-0412-6","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W19487029","https://openalex.org/W42295006","https://openalex.org/W92099274","https://openalex.org/W110248737","https://openalex.org/W146940927","https://openalex.org/W155997516","https://openalex.org/W616113975","https://openalex.org/W1523833688","https://openalex.org/W1576764313","https://openalex.org/W1599755535","https://openalex.org/W2025898504","https://openalex.org/W2050883727","https://openalex.org/W2062869591","https://openalex.org/W2072319628","https://openalex.org/W2080412456","https://openalex.org/W2298194928","https://openalex.org/W2733293804","https://openalex.org/W4211185072","https://openalex.org/W4233757271"],"related_works":["https://openalex.org/W2440474188","https://openalex.org/W2035270346","https://openalex.org/W2949066030","https://openalex.org/W4294755053","https://openalex.org/W3142231895","https://openalex.org/W2892015605","https://openalex.org/W2354006822","https://openalex.org/W2465127968","https://openalex.org/W2073521301","https://openalex.org/W2320555943"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}