Mohd Rais Khan, Mohammad Mueenul Hasnain
Abstract
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In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: F (x), y] + [D(y), x], and (v) F [x, y] = F (x) • y -D(y) • x for all x, y in some appropriate subsets of R.
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In this paper, we investigate the commutativity of a semiprime ring R admitting a generalized derivation F with associated derivation D satisfying any one of the properties: F (x), y] + [D(y), x], and (v) F [x, y] = F (x) • y -D(y) • x for all x, y in some appropriate subsets of R.
Key concepts: Mathematics, Semiprime ring, Pure mathematics, Semiprime, Algebra over a field, Arithmetic, Combinatorics, Prime (order theory)