{"id":"https://openalex.org/W4403453720","doi":"https://doi.org/10.3390/axioms13100717","title":"Symmetric Reverse n-Derivations on Ideals of Semiprime Rings","display_name":"Symmetric Reverse n-Derivations on Ideals of Semiprime Rings","publication_year":2024,"publication_date":"2024-10-16","ids":{"openalex":"https://openalex.org/W4403453720","doi":"https://doi.org/10.3390/axioms13100717"},"language":"en","primary_location":{"id":"doi:10.3390/axioms13100717","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100717","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/axioms13100717","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027105579","display_name":"Shakir Ali","orcid":"https://orcid.org/0000-0001-5162-7522"},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]},{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN","MY"],"is_corresponding":true,"raw_author_name":"Shakir Ali","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India","Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]},{"raw_affiliation_string":"Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia","institution_ids":["https://openalex.org/I33849332"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067594631","display_name":"Ali Yahya Hummdi","orcid":"https://orcid.org/0000-0002-8516-0868"},"institutions":[{"id":"https://openalex.org/I82952536","display_name":"King Khalid University","ror":"https://ror.org/052kwzs30","country_code":"SA","type":"education","lineage":["https://openalex.org/I82952536"]}],"countries":["SA"],"is_corresponding":false,"raw_author_name":"Ali Yahya Hummdi","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, King Khalid University, Abha 61413, Saudi Arabia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, King Khalid University, Abha 61413, Saudi Arabia","institution_ids":["https://openalex.org/I82952536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091998467","display_name":"Naira Noor Rafiquee","orcid":"https://orcid.org/0000-0003-1964-8870"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Naira N. Rafiquee","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Aligarh Muslim University, Aligarh 202002, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114085980","display_name":"Vaishali Varshney","orcid":null},"institutions":[{"id":"https://openalex.org/I82571370","display_name":"GLA University","ror":"https://ror.org/05fnxgv12","country_code":"IN","type":"education","lineage":["https://openalex.org/I82571370"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vaishali Varshney","raw_affiliation_strings":["Institute of Applied Sciences & Humanities, GLA University, Mathura 281406, India"],"affiliations":[{"raw_affiliation_string":"Institute of Applied Sciences & Humanities, GLA University, Mathura 281406, India","institution_ids":["https://openalex.org/I82571370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069418477","display_name":"Kok Bin Wong","orcid":"https://orcid.org/0000-0001-5640-4432"},"institutions":[{"id":"https://openalex.org/I33849332","display_name":"University of Malaya","ror":"https://ror.org/00rzspn62","country_code":"MY","type":"education","lineage":["https://openalex.org/I33849332"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Kok Bin Wong","raw_affiliation_strings":["Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia","institution_ids":["https://openalex.org/I33849332"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5027105579"],"corresponding_institution_ids":["https://openalex.org/I171210897","https://openalex.org/I33849332"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.3776,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.81386646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"13","issue":"10","first_page":"717","last_page":"717"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9932000041007996,"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/semiprime-ring","display_name":"Semiprime ring","score":0.8828416466712952},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5188668966293335},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48143264651298523},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.322751522064209},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14278650283813477},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.08770251274108887}],"concepts":[{"id":"https://openalex.org/C177598507","wikidata":"https://www.wikidata.org/wiki/Q2269249","display_name":"Semiprime ring","level":3,"score":0.8828416466712952},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5188668966293335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48143264651298523},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.322751522064209},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14278650283813477},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.08770251274108887}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/axioms13100717","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100717","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:f61b70a1fe35437bb6775fd7c82be8dc","is_oa":true,"landing_page_url":"https://doaj.org/article/f61b70a1fe35437bb6775fd7c82be8dc","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Axioms, Vol 13, Iss 10, p 717 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/axioms13100717","is_oa":true,"landing_page_url":"https://doi.org/10.3390/axioms13100717","pdf_url":null,"source":{"id":"https://openalex.org/S4210173132","display_name":"Axioms","issn_l":"2075-1680","issn":["2075-1680"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Axioms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1480376934","https://openalex.org/W1964560425","https://openalex.org/W1978946818","https://openalex.org/W1998823429","https://openalex.org/W2003898661","https://openalex.org/W2011534625","https://openalex.org/W2023144346","https://openalex.org/W2069572455","https://openalex.org/W2072557074","https://openalex.org/W2330965130","https://openalex.org/W2382542445","https://openalex.org/W2411389633","https://openalex.org/W2921597834","https://openalex.org/W3012250337","https://openalex.org/W4284887114","https://openalex.org/W4367188728","https://openalex.org/W4376999985","https://openalex.org/W4397003186","https://openalex.org/W6628668450"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2233321596","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2381216274","https://openalex.org/W2142036596","https://openalex.org/W2312470876"],"abstract_inverted_index":{"This":[0,83],"paper":[1],"focuses":[2],"on":[3],"examining":[4],"a":[5,32],"new":[6],"type":[7],"of":[8,25,48,68,79,90],"n-additive":[9,26],"map":[10],"called":[11],"the":[12,23,36,58,77],"symmetric":[13,80,92],"reverse":[14,29,38,81],"n-derivation.":[15],"As":[16],"implied":[17],"by":[18],"its":[19],"name,":[20],"it":[21],"combines":[22],"ideas":[24],"maps":[27,93],"and":[28,57,94],"derivations,":[30],"with":[31],"1-reverse":[33],"derivation":[34],"being":[35],"ordinary":[37],"derivation.":[39],"We":[40],"explore":[41],"several":[42],"findings":[43],"that":[44],"expand":[45],"our":[46,88],"knowledge":[47],"these":[49,91],"maps,":[50],"particularly":[51],"their":[52,95],"presence":[53],"in":[54],"semiprime":[55],"rings":[56,60],"way":[59],"respond":[61],"to":[62,74,86],"specific":[63],"functional":[64],"identities":[65],"involving":[66],"elements":[67],"ideals.":[69],"Also,":[70],"we":[71],"provide":[72],"examples":[73],"help":[75],"clarify":[76],"concept":[78],"n-derivations.":[82],"study":[84],"aims":[85],"deepen":[87],"understanding":[89],"properties":[96],"within":[97],"mathematical":[98],"structures.":[99]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}