{"id":"https://openalex.org/W1659519226","doi":"https://doi.org/10.1007/978-3-642-18026-2_14","title":"Ultrafilter Extensions of Models","display_name":"Ultrafilter Extensions of Models","publication_year":2010,"publication_date":"2010-12-10","ids":{"openalex":"https://openalex.org/W1659519226","doi":"https://doi.org/10.1007/978-3-642-18026-2_14","mag":"1659519226"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-18026-2_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18026-2_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5052244432","display_name":"Denis I. Saveliev","orcid":"https://orcid.org/0000-0002-0519-2641"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Denis I. Saveliev","raw_affiliation_strings":["Moscow State University, Russia","Moscow State University (Russia)"],"affiliations":[{"raw_affiliation_string":"Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Moscow State University (Russia)","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052244432"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.8827,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.82793522,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"162","last_page":"177"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962000250816345,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9962000250816345,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9621000289916992,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9598000049591064,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.9599921703338623},{"id":"https://openalex.org/keywords/ultrafilter","display_name":"Ultrafilter","score":0.668166995048523},{"id":"https://openalex.org/keywords/hausdorff-space","display_name":"Hausdorff space","score":0.652439296245575},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.535775899887085},{"id":"https://openalex.org/keywords/algebra-homomorphism","display_name":"Algebra homomorphism","score":0.4957786500453949},{"id":"https://openalex.org/keywords/beta","display_name":"BETA (programming language)","score":0.43421831727027893},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43035659193992615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4077815115451813},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3770947754383087},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3325918912887573},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314330577850342},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2623576521873474},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.05812102556228638}],"concepts":[{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.9599921703338623},{"id":"https://openalex.org/C87598191","wikidata":"https://www.wikidata.org/wiki/Q1571831","display_name":"Ultrafilter","level":2,"score":0.668166995048523},{"id":"https://openalex.org/C191399826","wikidata":"https://www.wikidata.org/wiki/Q326908","display_name":"Hausdorff space","level":2,"score":0.652439296245575},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.535775899887085},{"id":"https://openalex.org/C175316100","wikidata":"https://www.wikidata.org/wiki/Q3882299","display_name":"Algebra homomorphism","level":3,"score":0.4957786500453949},{"id":"https://openalex.org/C2776174256","wikidata":"https://www.wikidata.org/wiki/Q830842","display_name":"BETA (programming language)","level":2,"score":0.43421831727027893},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43035659193992615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4077815115451813},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3770947754383087},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3325918912887573},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314330577850342},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2623576521873474},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.05812102556228638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-18026-2_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-18026-2_14","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1576039172","https://openalex.org/W2573276458","https://openalex.org/W3208222341","https://openalex.org/W4254764017"],"related_works":["https://openalex.org/W2397057935","https://openalex.org/W3162132578","https://openalex.org/W3000811452","https://openalex.org/W820932428","https://openalex.org/W1646471221","https://openalex.org/W2964274586","https://openalex.org/W2963257725","https://openalex.org/W2954595592","https://openalex.org/W2015759975","https://openalex.org/W1659519226"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}