{"title":"ON HOM LIE YAMAGUTI ALGEBRAS","authors":"Patricia L. Zoungrana, Hamdiatou Yara","doi":"10.17654/0972555522034","DOIUrl":"https://doi.org/10.17654/0972555522034","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"22 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73434414","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Let R be a ring and α be an endomorphism of R. Then, we introduce the notions of generalized reverse (α, 1)-derivation and that of symmetric generalized reverse (α, 1)-biderivation. It is shown that if a semiprime ring admits a generalized reverse (α, 1)-derivation with an associated reverse (α, 1)-derivation d, then d maps R into Z(R) and also that if a non-commutative prime ring admits a generalized reverse (α, 1)-derivation F with an associated reverse (α, 1)-derivation d, then F is reverse left α-multiplier on R. Analogous results have been proved for a symmetric generalized reverse (α, 1)-biderivation.
设R是一个环，α是R的自同态，然后引入广义逆(α， 1)-求导和对称广义逆(α， 1)-双求导的概念。结果表明,如果一个半素环承认广义逆(α,1)推导有一个关联的反向(α,1)推导d, d R映射到Z (R)和也,如果non-commutative '环承认广义逆(α,1)推导F有一个关联的反向(α,1)推导d,然后向左F是反向α乘数R .类似的结果已经证明了对称广义逆-biderivation(α,1)。
{"title":"SYMMETRIC GENERALIZED REVERSE (α, 1)-BIDERIVATIONS IN RINGS","authors":"Sk. Haseena, C. J. Reddy","doi":"10.17654/0972555522033","DOIUrl":"https://doi.org/10.17654/0972555522033","url":null,"abstract":"Let R be a ring and α be an endomorphism of R. Then, we introduce the notions of generalized reverse (α, 1)-derivation and that of symmetric generalized reverse (α, 1)-biderivation. It is shown that if a semiprime ring admits a generalized reverse (α, 1)-derivation with an associated reverse (α, 1)-derivation d, then d maps R into Z(R) and also that if a non-commutative prime ring admits a generalized reverse (α, 1)-derivation F with an associated reverse (α, 1)-derivation d, then F is reverse left α-multiplier on R. Analogous results have been proved for a symmetric generalized reverse (α, 1)-biderivation.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"34 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76362461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"CATEGORY OF STRIP FOLDING IN TERMS OF A BOOLEAN MATRIX REPRESENTATION","authors":"Yiyang Jia, J. Mitani","doi":"10.17654/0972555522032","DOIUrl":"https://doi.org/10.17654/0972555522032","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78873621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STRING TOPOLOGICAL ROBOTICS 2","authors":"Ettaki Ayoub, M. Mamouni, M. A. Elomary","doi":"10.17654/0972555522031","DOIUrl":"https://doi.org/10.17654/0972555522031","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"47 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81370195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A TWO-TERM RELATION BETWEEN MULTIZETA FOR Fq[t]","authors":"J. Rodriguez","doi":"10.17654/0972555522030","DOIUrl":"https://doi.org/10.17654/0972555522030","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"38 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81636951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SOME DIFFERENTIAL IDENTITIES WITH f-DERIVATIONS ON PRIME RINGS","authors":"U. Leerawat, Patipat Toka","doi":"10.17654/0972555522029","DOIUrl":"https://doi.org/10.17654/0972555522029","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"42 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88315797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE p-FREE ROBIN INEQUALITIES FOR p = 3, 5, 7","authors":"Yoshihiro Koya","doi":"10.17654/0972555522028","DOIUrl":"https://doi.org/10.17654/0972555522028","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"11 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81335394","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Diaz-Vargas, Carlos Jacob Rubio-Barrios, Luis Gustavo Santiago-Bonifaz
{"title":"EISENSTEIN-JACOBI INTEGER SOLUTIONS FOR THE FIFTH POWER TAXICAB NUMBER PROBLEM","authors":"J. Diaz-Vargas, Carlos Jacob Rubio-Barrios, Luis Gustavo Santiago-Bonifaz","doi":"10.17654/0972555522027","DOIUrl":"https://doi.org/10.17654/0972555522027","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"69 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77163415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE MONOGENITY OF CERTAIN BINOMIAL COMPOSITIONS","authors":"I. Gaál","doi":"10.17654/0972555522026","DOIUrl":"https://doi.org/10.17654/0972555522026","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79237529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON TRIDEMI-REAL NUMBER SYSTEM AND ALGEBRAIC ENTANGLEMENT","authors":"C. Gauthier","doi":"10.17654/0972555522025","DOIUrl":"https://doi.org/10.17654/0972555522025","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"31 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77559841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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