Higher Derivations Satisfying Certain Identities in Rings

Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney
स्वरूप: लेख
भाषा:English
प्रकाशित: Hindawi Limited 2024-01-01
श्रृंखला:Journal of Mathematics
ऑनलाइन पहुंच:http://dx.doi.org/10.1155/2024/6550025