{"id":"https://openalex.org/W1998520885","doi":"https://doi.org/10.1007/s00500-011-0750-z","title":"Quotients and weakly algebraic sets in pseudoeffect algebras","display_name":"Quotients and weakly algebraic sets in pseudoeffect algebras","publication_year":2011,"publication_date":"2011-08-08","ids":{"openalex":"https://openalex.org/W1998520885","doi":"https://doi.org/10.1007/s00500-011-0750-z","mag":"1998520885"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-011-0750-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-011-0750-z","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/A5100342511","display_name":"Haiyang Li","orcid":"https://orcid.org/0000-0002-2225-498X"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hai-Yang Li","raw_affiliation_strings":["Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, People\u2019s Republic of China","Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, People\u2019s Republic of China","School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, People\u2019s Republic of China","institution_ids":["https://openalex.org/I27599042"]},{"raw_affiliation_string":"Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I27599042"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101421931","display_name":"Jigen Peng","orcid":"https://orcid.org/0000-0002-0215-9678"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ji-Gen Peng","raw_affiliation_strings":["Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, 710049, People\u2019s Republic of China","institution_ids":["https://openalex.org/I87445476"]},{"raw_affiliation_string":"Department of Mathematics, Xi\u2019an Jiaotong University, Xi\u2019an, People\u2019s Republic of China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100342511"],"corresponding_institution_ids":["https://openalex.org/I27599042","https://openalex.org/I87445476"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08760739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"3","first_page":"485","last_page":"492"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9951000213623047,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9940999746322632,"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/mathematics","display_name":"Mathematics","score":0.8088810443878174},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.6537994146347046},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5647101998329163},{"id":"https://openalex.org/keywords/prime-ideal","display_name":"Prime ideal","score":0.5510938763618469},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5219166278839111},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5149098634719849},{"id":"https://openalex.org/keywords/riesz-representation-theorem","display_name":"Riesz representation theorem","score":0.5133163332939148},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5043455362319946},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.4712679088115692},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4321141839027405},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42447629570961},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.42152321338653564},{"id":"https://openalex.org/keywords/algebraic-properties","display_name":"Algebraic properties","score":0.415676474571228},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27554625272750854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06751999258995056},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06285861134529114}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8088810443878174},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.6537994146347046},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5647101998329163},{"id":"https://openalex.org/C2779467367","wikidata":"https://www.wikidata.org/wiki/Q863912","display_name":"Prime ideal","level":3,"score":0.5510938763618469},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5219166278839111},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5149098634719849},{"id":"https://openalex.org/C113675457","wikidata":"https://www.wikidata.org/wiki/Q1357684","display_name":"Riesz representation theorem","level":2,"score":0.5133163332939148},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5043455362319946},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.4712679088115692},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4321141839027405},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42447629570961},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.42152321338653564},{"id":"https://openalex.org/C2989065042","wikidata":"https://www.wikidata.org/wiki/Q7378971","display_name":"Algebraic properties","level":2,"score":0.415676474571228},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27554625272750854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06751999258995056},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06285861134529114},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-011-0750-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-011-0750-z","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/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W92099274","https://openalex.org/W110248737","https://openalex.org/W146940927","https://openalex.org/W155997516","https://openalex.org/W1576764313","https://openalex.org/W1599755535","https://openalex.org/W2003074981","https://openalex.org/W2014979311","https://openalex.org/W2040917575","https://openalex.org/W2072319628","https://openalex.org/W2080412456","https://openalex.org/W2105572634","https://openalex.org/W2298194928","https://openalex.org/W4211185072","https://openalex.org/W4233757271"],"related_works":["https://openalex.org/W2361136765","https://openalex.org/W2356051614","https://openalex.org/W2513064798","https://openalex.org/W2966036268","https://openalex.org/W3090760912","https://openalex.org/W3165748907","https://openalex.org/W4210664939","https://openalex.org/W3135717796","https://openalex.org/W3128421180","https://openalex.org/W3203278530"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
