Santi Irawati, Hidetoshi Marubayashi
A ring R is called right (left) bounded if for any essential right (left) ideal I of R, there exists a non-zero ideal A of R such that A ⊆ I. A bounded ring is a right and left bounded. It is proved in [1] that R[x, σ] is a Krull order if and only if R is a σ-Krull, where R is an order with an automorphism σ in a simple Artinian Q. Based on this idea, it will be shown some properties of R[x, σ] related to the bounded Krull order, where R is a Noetherian prime Goldie ring. © 2012 Pushpa Publishing House.
Mathematics Department, State University of Malang (UM), Malang, Jawa Timur, Indonesia; Faculty of Sciences and Engineering, Tokushima Bunri University, Shido, Sanuki, Kagawa, Japan
