Associated Prime Ideals of Skew Polynomial Rings
نویسنده
چکیده
In this paper, it has been proved that for a Noetherian ring R and an automorphism σ of R, an associated prime ideal of R[x, σ] or R[x, x−1, σ] is the extension of its contraction to R and this contraction is the intersection of the orbit under σ of some associated prime ideal of R. The same statement is true for minimal prime ideals also. It has also been proved that for a Noetherian Q-algebra (Q the field of rational numbers) and a derivation δ of R, an associated prime ideal of R[x, δ] is the extension of its contraction to R and this contraction is an associated prime ideal of R. MSC 2000: 16-XX (primary), 16S36, 16P40, 16P50, 16U20 (secondary)
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