Journal: | Boletim da Sociedade Paranaense de Matematica |
Database: | PERIÓDICA |
System number: | 000365649 |
ISSN: | 0037-8712 |
Authors: | Rehman, Nadeem ur1 AL-Omary, Radwan Mohammed1 Al-Shomrani, Mohammed M2 |
Institutions: | 1Aligarh Muslim University, Department of Mathematics, Aligarh, Uttar Pradesh. India 2King Abdul Aziz University, Faculty of Science, Yeda. Arabia Saudita |
Year: | 2013 |
Volumen: | 31 |
Number: | 1 |
Pages: | 153-153 |
Country: | Brasil |
Language: | Inglés |
Document type: | Artículo |
Approach: | Experimental, analítico |
English abstract | Let R and S be rings of a semi-projective Morita context, and , be automorphisms of R. An additive mapping F: R → R is called a generalized ( , )-derivation on R if there exists an ( , )-derivation d: R → R such that F(xy) = F(x) (y)+ (x)d(y) holds for all x, y ∈ R. For any x, y ∈ R, set [x, y] , = x (y) − (y)x and (x ◦ y) , = x (y) + (y)x. In the present paper, we shall show that if the ring S is reduced then it is a commutative, in a compatible way with the ring R. Also, we obtain some results on bi-algebras via Cauchy modules |
Disciplines: | Matemáticas |
Keyword: | Matemáticas puras, Algebra, Coalgebra, Módulos de Cauchy, Anillos primos, Morita context |
Keyword: | Mathematics, Applied mathematics, Pure mathematics, Algebra, Coalgebra, Cauchy modules, Prime rings, Morita context |
Full text: | Texto completo (Ver PDF) |