Dhara, B. and Mozumder, M.R. (2018) Some identities involving multiplicative generalized derivations in prime and semiprime rings. Boletim da Sociedade Paranaense de Matematica, 36 (1). pp. 25-36. ISSN 378712
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Official URL: http://periodicos.uem.br/ojs/index.php/BSocParanMa...
Abstract
Let R be a ring with center Z(R). A mapping F: R → R is called a multiplicative generalized derivation, if F (xy) = F (x)y + xg(y) is fulfilled for all x, y ∈ R, where g: R → R is a derivation. In the present paper, our main object is to study the situations: (1) F (xy) − F (x)F (y) ∈ Z(R), (2) F (xy) + F (x)F (y) ∈ Z(R), (3) F (xy)−F (y)F (x) ∈ Z(R), (4) F (xy)+F (y)F (x) ∈ Z(R), (5) F (xy)−g(y)F (x) ∈ Z(R); for all x, y in some suitable subset of R.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Derivation; Generalized derivation; Multiplicative generalized derivation; Semiprime ring |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculties > Faculty of Science > Department of Mathematics |
| Depositing User: | AMU Library |
| Date Deposited: | 20 Jan 2018 04:35 |
| Last Modified: | 20 Jan 2018 04:35 |
| URI: | http://ir.amu.ac.in/id/eprint/10854 |
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