Morita context and generalized (α,β)-derivations



Document title: Morita context and generalized (α,β)-derivations
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000365649
ISSN: 0037-8712
Authors: 1
1
2
Institutions: 1Aligarh Muslim University, Department of Mathematics, Aligarh, Uttar Pradesh. India
2King Abdul Aziz University, Faculty of Science, Yeda. Arabia Saudita
Year:
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
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