SOME PROPERTIES OF RELATED TO THE BOUNDED KRULL ORDER
A ring Ris called right (left) bounded if for any essential right (left) ideal Iof R, there exists a non-zero ideal Aof Rsuch that A bounded ring is a right and left bounded. It is proved in [1] that is a Krull order if and only if Ris a s-Krull, where Ris an order with an automorphism s in a simple Artinian Q. Based on this idea, it will be shown some properties of related to the bounded Krull order, where Ris a Noetherian prime Goldie ring.
Krull, Noetherian, prime Goldie ring.