{"id":"https://openalex.org/W2070015609","doi":"https://doi.org/10.2478/s13537-014-0220-7","title":"Categorical structures as expressing tool for differential calculus","display_name":"Categorical structures as expressing tool for differential calculus","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2070015609","doi":"https://doi.org/10.2478/s13537-014-0220-7","mag":"2070015609"},"language":"en","primary_location":{"id":"doi:10.2478/s13537-014-0220-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-014-0220-7","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-014-0220-7/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.2478/s13537-014-0220-7/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028533894","display_name":"William Steingartner","orcid":"https://orcid.org/0000-0002-2852-9403"},"institutions":[{"id":"https://openalex.org/I183764125","display_name":"Technical University of Ko\u0161ice","ror":"https://ror.org/05xm08015","country_code":"SK","type":"education","lineage":["https://openalex.org/I183764125"]}],"countries":["SK"],"is_corresponding":true,"raw_author_name":"William Steingartner","raw_affiliation_strings":["Department of Computers and Informatics, Faculty of El. Engineering and Informatics, Technical University of Ko\u0161ice, Letn\u00e1 9, 04200, Ko\u0161ice, Slovakia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computers and Informatics, Faculty of El. Engineering and Informatics, Technical University of Ko\u0161ice, Letn\u00e1 9, 04200, Ko\u0161ice, Slovakia","institution_ids":["https://openalex.org/I183764125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078512341","display_name":"Davorka Radakovi\u0107","orcid":"https://orcid.org/0000-0001-8480-3211"},"institutions":[{"id":"https://openalex.org/I170726198","display_name":"University of Novi Sad","ror":"https://ror.org/00xa57a59","country_code":"RS","type":"education","lineage":["https://openalex.org/I170726198"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Davorka Radakovi\u0107","raw_affiliation_strings":["Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovica 4, 21000, Novi Sad, Serbia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovica 4, 21000, Novi Sad, Serbia","institution_ids":["https://openalex.org/I170726198"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5028533894"],"corresponding_institution_ids":["https://openalex.org/I183764125"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078},"apc_paid":{"value":1000,"currency":"EUR","value_usd":1078},"fwci":0.8456,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.81602704,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"4","issue":"3","first_page":"96","last_page":"106"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9918000102043152,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9918000102043152,"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/T11450","display_name":"Model-Driven Software Engineering Techniques","score":0.9409000277519226,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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":0.9239000082015991,"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/morphism","display_name":"Morphism","score":0.9076670408248901},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.8064287304878235},{"id":"https://openalex.org/keywords/categorical-variable","display_name":"Categorical variable","score":0.7466525435447693},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.706243634223938},{"id":"https://openalex.org/keywords/differential-calculus","display_name":"Differential calculus","score":0.6142469048500061},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5524364113807678},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5263030529022217},{"id":"https://openalex.org/keywords/arrow","display_name":"Arrow","score":0.5259742140769958},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5202711224555969},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4867594242095947},{"id":"https://openalex.org/keywords/mathematical-structure","display_name":"Mathematical structure","score":0.4316864311695099},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42213308811187744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3918774127960205},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26833415031433105},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14538249373435974}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.9076670408248901},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.8064287304878235},{"id":"https://openalex.org/C5274069","wikidata":"https://www.wikidata.org/wiki/Q2285707","display_name":"Categorical variable","level":2,"score":0.7466525435447693},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.706243634223938},{"id":"https://openalex.org/C56802139","wikidata":"https://www.wikidata.org/wiki/Q149999","display_name":"Differential calculus","level":2,"score":0.6142469048500061},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5524364113807678},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5263030529022217},{"id":"https://openalex.org/C2780339515","wikidata":"https://www.wikidata.org/wiki/Q3074698","display_name":"Arrow","level":2,"score":0.5259742140769958},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5202711224555969},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4867594242095947},{"id":"https://openalex.org/C130327152","wikidata":"https://www.wikidata.org/wiki/Q748349","display_name":"Mathematical structure","level":2,"score":0.4316864311695099},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42213308811187744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3918774127960205},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26833415031433105},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14538249373435974},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/s13537-014-0220-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-014-0220-7","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-014-0220-7/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:a42cbb8e42f442e9942b904a899e5470","is_oa":true,"landing_page_url":"https://doaj.org/article/a42cbb8e42f442e9942b904a899e5470","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Open Computer Science, Vol 4, Iss 3, Pp 96-106 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/s13537-014-0220-7","is_oa":true,"landing_page_url":"https://doi.org/10.2478/s13537-014-0220-7","pdf_url":"https://www.degruyter.com/document/doi/10.2478/s13537-014-0220-7/pdf","source":{"id":"https://openalex.org/S4210177004","display_name":"Open Computer Science","issn_l":"2299-1093","issn":["2299-1093"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323640","display_name":"Kult\u00farna a Edukacn\u00e1 Grantov\u00e1 Agent\u00fara M\u0160VVa\u0160 SR","ror":"https://ror.org/044gwpv05"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2070015609.pdf","grobid_xml":"https://content.openalex.org/works/W2070015609.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W199261334","https://openalex.org/W405637517","https://openalex.org/W1520893111","https://openalex.org/W1558659083","https://openalex.org/W1577127189","https://openalex.org/W1667611608","https://openalex.org/W1998054504","https://openalex.org/W2014078972","https://openalex.org/W2021257181","https://openalex.org/W2046797091","https://openalex.org/W2088027070","https://openalex.org/W2102969903","https://openalex.org/W2113145089","https://openalex.org/W2114151019","https://openalex.org/W2115038101","https://openalex.org/W2154520472","https://openalex.org/W2321359234","https://openalex.org/W2333989587","https://openalex.org/W2338035270","https://openalex.org/W2610994252","https://openalex.org/W4214621180","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2070015609","https://openalex.org/W1965594853","https://openalex.org/W2963042045","https://openalex.org/W568038298","https://openalex.org/W1619051700","https://openalex.org/W4394644329","https://openalex.org/W2087502867","https://openalex.org/W423830787","https://openalex.org/W4388247471","https://openalex.org/W2572230934"],"abstract_inverted_index":{"Abstract":[0],"Category":[1],"is":[2],"a":[3],"mathematical":[4,26,47],"structure":[5],"consisting":[6],"of":[7,24,33,56,62,64],"objects":[8,12,34],"and":[9,35,74,76],"morphisms":[10],"between":[11],"with":[13],"some":[14],"specific":[15],"properties.":[16],"Categories":[17],"examine":[18],"in":[19,42],"abstract":[20],"way":[21],"the":[22,52,60],"properties":[23],"particular":[25],"concepts":[27],"by":[28,67],"formalizing":[29],"them":[30],"as":[31],"collections":[32],"morphisms.":[36],"Categorical":[37],"structures":[38],"are":[39],"widely":[40],"used":[41],"computer":[43],"science":[44],"for":[45,58],"exact":[46],"modeling.":[48],"This":[49],"paper":[50],"highlights":[51],"most":[53],"typical":[54],"use":[55],"categories":[57],"constructing":[59],"model":[61],"part":[63],"differential":[65],"calculus":[66],"using":[68],"special":[69],"category":[70],"named":[71],"arrow":[72],"category;":[73],"codomain":[75],"domain":[77],"functors.":[78]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}