{"id":"https://openalex.org/W1995645843","doi":"https://doi.org/10.1155/2012/625968","title":"On Prime-Gamma-Near-Rings with Generalized Derivations","display_name":"On Prime-Gamma-Near-Rings with Generalized Derivations","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1995645843","doi":"https://doi.org/10.1155/2012/625968","mag":"1995645843"},"language":"en","primary_location":{"id":"doi:10.1155/2012/625968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/625968","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/625968.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/ijmms/2012/625968.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024054572","display_name":"Kalyan Kumar Dey","orcid":"https://orcid.org/0000-0003-0195-1150"},"institutions":[{"id":"https://openalex.org/I902853133","display_name":"University of Rajshahi","ror":"https://ror.org/05nnyr510","country_code":"BD","type":"education","lineage":["https://openalex.org/I902853133"]}],"countries":["BD"],"is_corresponding":true,"raw_author_name":"Kalyan Kumar Dey","raw_affiliation_strings":["Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh","institution_ids":["https://openalex.org/I902853133"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109264198","display_name":"Akhil Chandra Paul","orcid":null},"institutions":[{"id":"https://openalex.org/I902853133","display_name":"University of Rajshahi","ror":"https://ror.org/05nnyr510","country_code":"BD","type":"education","lineage":["https://openalex.org/I902853133"]}],"countries":["BD"],"is_corresponding":false,"raw_author_name":"Akhil Chandra Paul","raw_affiliation_strings":["Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rajshahi University, Rajshahi 6205, Bangladesh","institution_ids":["https://openalex.org/I902853133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031663620","display_name":"I. S. Rakhimov","orcid":"https://orcid.org/0000-0003-3750-3229"},"institutions":[{"id":"https://openalex.org/I130343225","display_name":"Universiti Putra Malaysia","ror":"https://ror.org/02e91jd64","country_code":"MY","type":"education","lineage":["https://openalex.org/I130343225"]}],"countries":["MY"],"is_corresponding":false,"raw_author_name":"Isamiddin S. Rakhimov","raw_affiliation_strings":["Department of Mathematics, Faculty of Science and Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Malaysia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science and Institute for Mathematical Research (INSPEM), Universiti Putra Malaysia, 43400 Serdang, Malaysia","institution_ids":["https://openalex.org/I130343225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024054572"],"corresponding_institution_ids":["https://openalex.org/I902853133"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":2.292,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.85079159,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2012","issue":null,"first_page":"1","last_page":"14"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9959999918937683,"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":0.9514999985694885,"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/mathematics","display_name":"Mathematics","score":0.6364365220069885},{"id":"https://openalex.org/keywords/font","display_name":"Font","score":0.5739274621009827},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.536450207233429},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4916444420814514},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46388086676597595},{"id":"https://openalex.org/keywords/scalable-vector-graphics","display_name":"Scalable Vector Graphics","score":0.44735538959503174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1347636580467224},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.1034131646156311},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08748313784599304},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08738195896148682},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.057327866554260254}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6364365220069885},{"id":"https://openalex.org/C2777737414","wikidata":"https://www.wikidata.org/wiki/Q4868296","display_name":"Font","level":2,"score":0.5739274621009827},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.536450207233429},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4916444420814514},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46388086676597595},{"id":"https://openalex.org/C202629362","wikidata":"https://www.wikidata.org/wiki/Q2078","display_name":"Scalable Vector Graphics","level":2,"score":0.44735538959503174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1347636580467224},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.1034131646156311},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08748313784599304},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08738195896148682},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.057327866554260254}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/625968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/625968","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/625968.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:625968","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2012/625968.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:32e320072db847c0922a47967e37a14c","is_oa":true,"landing_page_url":"https://doaj.org/article/32e320072db847c0922a47967e37a14c","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/625968","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/625968","pdf_url":"https://downloads.hindawi.com/journals/ijmms/2012/625968.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1995645843.pdf","grobid_xml":"https://content.openalex.org/works/W1995645843.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W331451063","https://openalex.org/W775534122","https://openalex.org/W1550351308","https://openalex.org/W2026162520","https://openalex.org/W2161800211"],"related_works":["https://openalex.org/W2358969090","https://openalex.org/W3183425535","https://openalex.org/W2354624479","https://openalex.org/W2394137533","https://openalex.org/W2362190996","https://openalex.org/W2385461408","https://openalex.org/W2119089902","https://openalex.org/W2387643967","https://openalex.org/W2393464257","https://openalex.org/W2402920184"],"abstract_inverted_index":{"Let":[0,13],"N":[1,11,47,55,63,79],"be":[2,19],"a":[3,57,62,68,77,87],"2-torsion":[4],"free":[5],"prime":[6],"-near-ring":[7],"with":[8],"center":[9],"Z":[10,46,78],".":[12,80],"f,":[14],"d":[15,76],"and":[16,64],"g,":[17],"h":[18],"two":[20],"generalized":[21,88],"derivations":[22],"on":[23,90],"N.":[24],"We":[25],"prove":[26],"the":[27],"following":[28],"results:":[29],"i":[30],"if":[31],"f":[32,37,43,65,93],"x,":[33,38,40,50],"y":[34,39,41,51],"0":[35,69,94],"or":[36,42,95],"2":[44],"x":[45,66,72],"for":[48,70],"all":[49,71],"N,":[52,73,91],",":[53,67,74],"then":[54,75,92],"is":[56],"commutative":[58],"-ring.":[59],"ii":[60],"If":[61,82],"iii":[81],"fg,":[83],"dh":[84],"acts":[85],"as":[86],"derivation":[89],"g":[96],"0.":[97]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}