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- Title
Minimal prime ideals of σ(*)-rings and their extensions.
- Authors
Bhat, V. K.
- Abstract
Let R be a right Noetherian ring which is also an algebra over ℚ (ℚ the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. Let further σ be such that aσ(a) ∈ P(R) implies that a ∈ P(R) for a ∈ R, where P(R) is the prime radical of R. In this paper we study minimal prime ideals of Ore extension R[x; σ; δ] and we prove the following in this direction: Let R be a right Noetherian ring which is also an algebra over ℚ. Let δ and be as above. Then P is a minimal prime ideal of R[x; σ; δ] if and only if there exists a minimal prime ideal U of R with P = U[x; σ; δ δ].
- Subjects
PRIME ideals; AUTOMORPHISMS; NOETHERIAN rings
- Publication
Armenian Journal of Mathematics, 2013, Vol 5, Issue 2, p98
- ISSN
1829-1163
- Publication type
Article