Posner’s Theorem and ∗-Centralizing Derivations on Prime Ideals with Applications

Posner’s Theorem and ∗-Centralizing Derivations on Prime Ideals with Applications

A well-known result of Posner’s second theorem states that if the commutator of each element in a prime ring and its image under a nonzero derivation are central, then the ring is commutative. In the present paper, we extended this bluestocking theorem to an arbitrary ring with involution involving...

Full description

Bibliographic Details
Main Authors: Shakir Ali, Turki M. Alsuraiheed, Mohammad Salahuddin Khan, Cihat Abdioglu, Mohammed Ayedh, Naira N. Rafiquee
Format: Article
Language:English
Published: MDPI AG 2023-07-01
Series:Mathematics
Subjects:
derivation
∗-centralizing derivation
∗-commuting derivation
involution
prime ideal
prime ring
Online Access:https://www.mdpi.com/2227-7390/11/14/3117

Similar Items

Similar Items