{"id":"https://openalex.org/W1556644695","doi":"https://doi.org/10.1007/3-540-56686-4_48","title":"An elementary proof of a partial improvement to the Ax-Katz Theorem","display_name":"An elementary proof of a partial improvement to the Ax-Katz Theorem","publication_year":1993,"publication_date":"1993-01-01","ids":{"openalex":"https://openalex.org/W1556644695","doi":"https://doi.org/10.1007/3-540-56686-4_48","mag":"1556644695"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-56686-4_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-56686-4_48","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/A5076803840","display_name":"\u00d3scar Moreno","orcid":"https://orcid.org/0000-0002-8670-6404"},"institutions":[{"id":"https://openalex.org/I1662191","display_name":"University of Puerto Rico at R\u00edo Piedras","ror":"https://ror.org/0453v4r20","country_code":"PR","type":"education","lineage":["https://openalex.org/I1662191","https://openalex.org/I200399037"]}],"countries":["PR"],"is_corresponding":false,"raw_author_name":"O. Moreno","raw_affiliation_strings":["University of Puerto Rico Rio Piedras, USA","University of Puerto Rico, Rio Piedras#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Puerto Rico Rio Piedras, USA","institution_ids":["https://openalex.org/I1662191"]},{"raw_affiliation_string":"University of Puerto Rico, Rio Piedras#TAB#","institution_ids":["https://openalex.org/I1662191"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073953137","display_name":"Carlos Moreno","orcid":"https://orcid.org/0000-0003-1497-5119"},"institutions":[{"id":"https://openalex.org/I141810926","display_name":"Baruch College","ror":"https://ror.org/023qavy03","country_code":"US","type":"education","lineage":["https://openalex.org/I141810926"]},{"id":"https://openalex.org/I2800359653","display_name":"CUNY School of Law","ror":"https://ror.org/00jtran50","country_code":"US","type":"education","lineage":["https://openalex.org/I2800359653"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. J. Moreno","raw_affiliation_strings":["Baruch, CUNY, N. Salem, USA","CUNY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Baruch, CUNY, N. Salem, USA","institution_ids":["https://openalex.org/I141810926"]},{"raw_affiliation_string":"CUNY","institution_ids":["https://openalex.org/I2800359653"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0886,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.76127774,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"257","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/elementary-proof","display_name":"Elementary proof","score":0.6040611267089844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5435838103294373},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4370215833187103},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34627336263656616},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34358668327331543},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.1306827962398529}],"concepts":[{"id":"https://openalex.org/C2777478746","wikidata":"https://www.wikidata.org/wiki/Q5358910","display_name":"Elementary proof","level":2,"score":0.6040611267089844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5435838103294373},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4370215833187103},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34627336263656616},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34358668327331543},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.1306827962398529},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-56686-4_48","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-56686-4_48","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":13,"referenced_works":["https://openalex.org/W194821603","https://openalex.org/W204284530","https://openalex.org/W1606480398","https://openalex.org/W1973236070","https://openalex.org/W1990055659","https://openalex.org/W2009454758","https://openalex.org/W2014308048","https://openalex.org/W2025898330","https://openalex.org/W2140420535","https://openalex.org/W2151973746","https://openalex.org/W2314654153","https://openalex.org/W3151140615","https://openalex.org/W4253148615"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
