On generalized derivations and commutativity of associative rings
Copyright policy )On generalized derivations and commutativity of associative rings
Let π be a ring with center Z(π). A mapping f : π β π is said to be strong commutativity preserving (SCP) on π if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on π if f (x) β¦ f (y) = x β¦ y for all x, y βπ. In the present paper, we apply the standard theory of differential identities to characterize SCP and SACP derivations of prime and semiprime rings.
- Yazd University Iran (Islamic Republic of)
- Punjabi University India
secondary 16n60, 16w25, martindale ring of quotients, QA1-939, (semi)prime rings, primary 46j10, 16n20, generalized derivations, Mathematics, generalized polynomial identities
secondary 16n60, 16w25, martindale ring of quotients, QA1-939, (semi)prime rings, primary 46j10, 16n20, generalized derivations, Mathematics, generalized polynomial identities
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