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On 2-primal Ore extensions over Noetherian σ(*)-rings
Authors: Vijay Kumar Bhat
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Abstract
In this article, we discuss the prime radical of skew polynomial rings over Noetherian rings. We recall σ(*) property on a ring R (i.e. aσ(a)∈P(R) implies a∈P(R) for a∈R, where P(R) is the prime radical of R, and σ an automorphism of R). Let now δ be a σ-derivation of R such that δ(σ(a)) = σ(δ(a)) for all a∈R. Then we show that for a Noetherian σ(*)-ring, which is also an algebra over {Q}, the Ore extension R[x; σ, δ] is 2-primal Noetherian (i.e. the nil radical and the prime radical of R[x; σ, δ] coincide).E-mail:
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Contents
- Serial rings and their generalizations
- Reconstruction of centrally symmetric convex bodies in Rn
- On the structure of maximal non-finitely generated ideals of ring and Cohen's theorem
- On 2-primal Ore extensions over Noetherian σ(*)-rings
- Free topological universal algebras and absolute neighborhood retracts
- On the instability of solutions of seventh order nonlinear delay differential equations
- Algorithms for Determining the State-Time Probabilities and the Limit Matrix in Markov Chains
- On stability radius of the multicriteria variant of Markowitz's investment portfolio problem
