Open AccessA classification of generalized derivations in rings with involution
Author(s) -
Bharat Bhushan,
S Gurninder Sandhu,
Shakir Ali,
Deepak Kumar
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2105439b
Subject(s) - mathematics , involution (esoterism) , noncommutative geometry , pure mathematics , prime ring , prime (order theory) , algebra over a field , combinatorics , politics , political science , law
Let R be a ring. An additive mapping F : R ? R is called a generalized derivation if there exists a derivation d of R such that F(xy) = F(x)y + xd(y) for all x,y ? R. The main purpose of this paper is to characterize some specific classes of generalized derivations of rings. Precisely, we describe the structure of generalized derivations of noncommutative prime rings with involution that belong to a particular class of generalized derivations. Consequently, some recent results in this line of investigation have been extended. Moreover, some suitable examples showing that the assumed hypotheses are crucial, are also given.