On multiplicative centrally-extended maps on semi-prime rings

Abstract

In this paper, we show that for semi-prime rings of two-torsion free and 6-centrally torsion free, given a multiplicative centrally-extended derivation δ and a multiplicative centrally-extended epimorphism ϕ we can find a central ideal K and maps [Formula: see text] such as Δ and Φ are multiplicative derivation and multiplicative epimorphism, respectively.

Keywords

• Derivations
• CE-derivations
• CE-epimorphism
• 16W25
• 16N60
• 16U80