{"id":"https://openalex.org/W2003047929","doi":"https://doi.org/10.1007/s00500-007-0239-y","title":"On BCK algebras: Part II: New algebras. The ordinal sum (product) of two bounded BCK algebras","display_name":"On BCK algebras: Part II: New algebras. The ordinal sum (product) of two bounded BCK algebras","publication_year":2007,"publication_date":"2007-10-05","ids":{"openalex":"https://openalex.org/W2003047929","doi":"https://doi.org/10.1007/s00500-007-0239-y","mag":"2003047929"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-007-0239-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-007-0239-y","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5078463828","display_name":"Afrodita Iorgulescu","orcid":null},"institutions":[{"id":"https://openalex.org/I88491126","display_name":"Bucharest University of Economic Studies","ror":"https://ror.org/04yvncj21","country_code":"RO","type":"education","lineage":["https://openalex.org/I88491126"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Afrodita Iorgulescu","raw_affiliation_strings":["Department of Computer Science, Academy of Economic Studies, Pia\u0163a Roman\u0103 Nr.6 - R 70167, Oficiul Po\u015ftal 22, Bucharest, Romania","Department of Computer Science, Academy of Economic Studies, Bucharest, Romania#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Academy of Economic Studies, Pia\u0163a Roman\u0103 Nr.6 - R 70167, Oficiul Po\u015ftal 22, Bucharest, Romania","institution_ids":["https://openalex.org/I88491126"]},{"raw_affiliation_string":"Department of Computer Science, Academy of Economic Studies, Bucharest, Romania#TAB#","institution_ids":["https://openalex.org/I88491126"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5078463828"],"corresponding_institution_ids":["https://openalex.org/I88491126"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7524,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71811618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"9","first_page":"835","last_page":"856"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9970999956130981,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9947999715805054,"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/bounded-function","display_name":"Bounded function","score":0.7583222389221191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7145774364471436},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.477166086435318},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.45552098751068115},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.45273157954216003},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4340011477470398},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.42745646834373474},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4254630208015442}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7583222389221191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7145774364471436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.477166086435318},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.45552098751068115},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.45273157954216003},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4340011477470398},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.42745646834373474},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4254630208015442},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-007-0239-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-007-0239-y","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":67,"referenced_works":["https://openalex.org/W222339746","https://openalex.org/W270056808","https://openalex.org/W346235904","https://openalex.org/W564398415","https://openalex.org/W584697313","https://openalex.org/W586543693","https://openalex.org/W592367609","https://openalex.org/W612086669","https://openalex.org/W1483240043","https://openalex.org/W1492348087","https://openalex.org/W1503075583","https://openalex.org/W1506215459","https://openalex.org/W1535673504","https://openalex.org/W1545838455","https://openalex.org/W1550703529","https://openalex.org/W1566552629","https://openalex.org/W1576904948","https://openalex.org/W1970249071","https://openalex.org/W1972451186","https://openalex.org/W1974320589","https://openalex.org/W1979726628","https://openalex.org/W1982804987","https://openalex.org/W1983382657","https://openalex.org/W1985104705","https://openalex.org/W1989030813","https://openalex.org/W1993244347","https://openalex.org/W1994948488","https://openalex.org/W1999500055","https://openalex.org/W2001491676","https://openalex.org/W2011765234","https://openalex.org/W2012072427","https://openalex.org/W2021586000","https://openalex.org/W2023648368","https://openalex.org/W2024065710","https://openalex.org/W2025162096","https://openalex.org/W2031035469","https://openalex.org/W2046701989","https://openalex.org/W2073721756","https://openalex.org/W2075115375","https://openalex.org/W2078688875","https://openalex.org/W2082093772","https://openalex.org/W2083174445","https://openalex.org/W2110182592","https://openalex.org/W2112660043","https://openalex.org/W2141313404","https://openalex.org/W2151869844","https://openalex.org/W2154114798","https://openalex.org/W2238512101","https://openalex.org/W2314134460","https://openalex.org/W2338454682","https://openalex.org/W2339822315","https://openalex.org/W2340110558","https://openalex.org/W2475594644","https://openalex.org/W2496338429","https://openalex.org/W3047122219","https://openalex.org/W3148090786","https://openalex.org/W4210294256","https://openalex.org/W4211185072","https://openalex.org/W4213427446","https://openalex.org/W4234672050","https://openalex.org/W4243616005","https://openalex.org/W4244624434","https://openalex.org/W4246378692","https://openalex.org/W4293176479","https://openalex.org/W6609898298","https://openalex.org/W6629006282","https://openalex.org/W6999973451"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W4289799755","https://openalex.org/W2904666330"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}