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- W2884050087 abstract "Let R be a ring, σ an automorphism of R and δ a σ-derivation of R. Let further σ be such that aσ(a) ∈ N(R) if and only if a ∈ N(R) for a ∈ R, where N(R) is the set of nilpotent elements of R. We recall that a ring R is called an IFP-ring if for a, b ∈ R, ab = 0 implies aRb = 0. In this paper we study the associated prime ideals of Ore extension R[x; σ, δ] and we prove the following in this direction: Let R be a right Noetherian IFP-ring, which is also an algebra over Q (Q is the field of rational numbers), σ and δ as above. Then P is an associated prime ideal of R[x; σ, δ] (viewed as a right module over itself) if and only if there exists an associated prime ideal U of R such that (P ∩ R)[x; σ, δ] = P and P ∩ R = U." @default.
- W2884050087 created "2018-08-03" @default.
- W2884050087 creator A5050161532 @default.
- W2884050087 date "2017-01-01" @default.
- W2884050087 modified "2023-09-26" @default.
- W2884050087 title "A NOTE ON PRIME IDEALS OF IFP-RINGS AND THEIR EXTENSIONS" @default.
- W2884050087 hasPublicationYear "2017" @default.
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