{"id":"https://openalex.org/W2082817155","doi":"https://doi.org/10.1016/s0168-0072(98)00055-4","title":"Distinguishing three strong saturation properties in nonstandard analysis","display_name":"Distinguishing three strong saturation properties in nonstandard analysis","publication_year":1999,"publication_date":"1999-06-01","ids":{"openalex":"https://openalex.org/W2082817155","doi":"https://doi.org/10.1016/s0168-0072(98)00055-4","mag":"2082817155"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(98)00055-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(98)00055-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","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/A5050539424","display_name":"Renling Jin","orcid":"https://orcid.org/0000-0002-1625-1539"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I204593131","display_name":"College of Charleston","ror":"https://ror.org/00390t168","country_code":"US","type":"education","lineage":["https://openalex.org/I204593131"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Renling Jin","raw_affiliation_strings":["Department of Mathematics, College of Charleston, Charleston, SC 29424, USA","Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Charleston, Charleston, SC 29424, USA","institution_ids":["https://openalex.org/I204593131"]},{"raw_affiliation_string":"Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050539424"],"corresponding_institution_ids":["https://openalex.org/I135310074","https://openalex.org/I204593131"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.5183,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63028333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"98","issue":"1-3","first_page":"157","last_page":"171"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.9998999834060669,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12508","display_name":"Functional Equations Stability Results","score":0.9713000059127808,"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/automorphism","display_name":"Automorphism","score":0.7342533469200134},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.6689197421073914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644565463066101},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5563282370567322},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.5499170422554016},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.48742035031318665},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.48051294684410095},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.45689862966537476},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4568025767803192},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.4368782341480255},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3298378586769104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08466258645057678},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07451340556144714},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07141733169555664}],"concepts":[{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7342533469200134},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.6689197421073914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644565463066101},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5563282370567322},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.5499170422554016},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.48742035031318665},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.48051294684410095},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.45689862966537476},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4568025767803192},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.4368782341480255},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3298378586769104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08466258645057678},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07451340556144714},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07141733169555664},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"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/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0168-0072(98)00055-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(98)00055-4","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"is_oa":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.5308","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.5308","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.cofc.edu/faculty/jin/research/strongsat.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W66289639","https://openalex.org/W219454614","https://openalex.org/W618861887","https://openalex.org/W1199449240","https://openalex.org/W1496446432","https://openalex.org/W1508761264","https://openalex.org/W1584275176","https://openalex.org/W1981827190","https://openalex.org/W2013875099","https://openalex.org/W2016165693","https://openalex.org/W2047612490","https://openalex.org/W2090246774","https://openalex.org/W2092055744","https://openalex.org/W2099041909","https://openalex.org/W2148828449","https://openalex.org/W2157276982","https://openalex.org/W2799061192","https://openalex.org/W4248363969","https://openalex.org/W6608627563","https://openalex.org/W6630446651","https://openalex.org/W6654268581","https://openalex.org/W6672903211"],"related_works":["https://openalex.org/W2264022753","https://openalex.org/W1997883919","https://openalex.org/W2386314338","https://openalex.org/W2354689617","https://openalex.org/W2389993406","https://openalex.org/W2170102489","https://openalex.org/W2376584285","https://openalex.org/W1510249257","https://openalex.org/W2264849344","https://openalex.org/W4388419030"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}