Let R be a ring, σ an injective endomorphism of R and δ a σderivation of R. We prove that if R is semiprime left Goldie then the same holds for the Ore extension R[x;σ, δ] and both rings have the same left uniform dimension.

The nature of universe problems is ambiguous due to the presence asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, and management they involve various types uncertainties when dealing with them on occasions. To deal challenges uncertainty information, different theories have b...