2 papers
math.RA2004
Goldie conditions for Ore extensions over semiprime rings
A. Leroy, J. Matczuk
Let be a ring, an injective endomorphism of and a -derivation of . We prove that if is semiprime left Goldie then the same holds for the Ore extension $R[…
math.RA2004
Ore Extensions over Duo Rings
Jerzy Matczuk
We show that there exist noncommutative Ore extensions in which every right ideal is two-sided. This answers a problem posed by Marks in Duo Rings and Ore extensions, J.Algebra 280…