{"id":"https://openalex.org/W2343878154","doi":"https://doi.org/10.1007/978-3-319-30246-1_5","title":"Main Steps in Defining Finitely Supported Mathematics","display_name":"Main Steps in Defining Finitely Supported Mathematics","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2343878154","doi":"https://doi.org/10.1007/978-3-319-30246-1_5","mag":"2343878154"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-30246-1_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-30246-1_5","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information 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/A5064433688","display_name":"Andrei Alexandru","orcid":"https://orcid.org/0000-0002-0563-8391"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Andrei Alexandru","raw_affiliation_strings":["Romanian Academy, Institute of Computer Science, Ia\u015fi, Romania"],"affiliations":[{"raw_affiliation_string":"Romanian Academy, Institute of Computer Science, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I58077936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072509898","display_name":"Gabriel Ciobanu","orcid":"https://orcid.org/0000-0002-8166-9456"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Gabriel Ciobanu","raw_affiliation_strings":["Romanian Academy, Institute of Computer Science, Ia\u015fi, Romania"],"affiliations":[{"raw_affiliation_string":"Romanian Academy, Institute of Computer Science, Ia\u015fi, Romania","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064433688"],"corresponding_institution_ids":["https://openalex.org/I58077936"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.0257384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"73","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9975000023841858,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9975000023841858,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9901999831199646,"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/countable-set","display_name":"Countable set","score":0.8007198572158813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6711066961288452},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5796827673912048},{"id":"https://openalex.org/keywords/finitely-generated-abelian-group","display_name":"Finitely-generated abelian group","score":0.5351252555847168},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4677659869194031},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.42528003454208374},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3534504175186157},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3480653762817383},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33843085169792175},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06429097056388855},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05529901385307312}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.8007198572158813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6711066961288452},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5796827673912048},{"id":"https://openalex.org/C162860070","wikidata":"https://www.wikidata.org/wiki/Q142140","display_name":"Finitely-generated abelian group","level":2,"score":0.5351252555847168},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4677659869194031},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.42528003454208374},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3534504175186157},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3480653762817383},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33843085169792175},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06429097056388855},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05529901385307312},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-30246-1_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-30246-1_5","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information 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":42,"referenced_works":["https://openalex.org/W104000688","https://openalex.org/W293240786","https://openalex.org/W427601738","https://openalex.org/W642569514","https://openalex.org/W755158540","https://openalex.org/W851845004","https://openalex.org/W1494994700","https://openalex.org/W1509817786","https://openalex.org/W1541012876","https://openalex.org/W1565029977","https://openalex.org/W1570540692","https://openalex.org/W1574852572","https://openalex.org/W1608084331","https://openalex.org/W1781706428","https://openalex.org/W1975082667","https://openalex.org/W1978653019","https://openalex.org/W1979971526","https://openalex.org/W1993375565","https://openalex.org/W1994196565","https://openalex.org/W2001299902","https://openalex.org/W2037026294","https://openalex.org/W2045982128","https://openalex.org/W2064028777","https://openalex.org/W2097196501","https://openalex.org/W2145576118","https://openalex.org/W2157757085","https://openalex.org/W2185071372","https://openalex.org/W2246495333","https://openalex.org/W2293182467","https://openalex.org/W2314860526","https://openalex.org/W2399158595","https://openalex.org/W2494291666","https://openalex.org/W2553477080","https://openalex.org/W2561618607","https://openalex.org/W2574017865","https://openalex.org/W3188557745","https://openalex.org/W4211036707","https://openalex.org/W4245071229","https://openalex.org/W4251967880","https://openalex.org/W4291439952","https://openalex.org/W4293117209","https://openalex.org/W4312370190"],"related_works":["https://openalex.org/W4299610791","https://openalex.org/W2950866767","https://openalex.org/W1631776469","https://openalex.org/W3207604768","https://openalex.org/W3019662020","https://openalex.org/W4281680667","https://openalex.org/W3106300234","https://openalex.org/W4286900056","https://openalex.org/W1968507454","https://openalex.org/W4300693679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}