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- W2293461905 abstract "L et R be a Noetherian, integral domain which is also an algebra overQ (Q is the field of rational numbers). Letbe an automorphism of R anda �-derivation of R. A ring R is called a (�,�)-ring if a(�(a)+�(a))∈ P(R) implies that a∈ P(R) for a∈ R, where P(R) is the prime radical of R. We prove that R is 2-primal if �(P(R))⊆ P(R). We also study the property of minimal prime ideals of R and prove the following in this direction: Let R be a Noetherian, integral domain which is also an algebra overQ. Letbe an automorphism of R anda �-derivation of R such that R is a(�,�)-ring. If P∈ Min.Spec(R) is such that �(P) = P, then �(P)⊆ P. Further if �(P(R))⊆ P(R), then P(x;�,�) is a completely prime ideal of R(x;�,�). 2010 Mathematics Subject Classifications: 16-XX, 16W20, 16P40, 16S50" @default.
- W2293461905 created "2016-06-24" @default.
- W2293461905 creator A5010265329 @default.
- W2293461905 creator A5071375385 @default.
- W2293461905 date "2015-01-01" @default.
- W2293461905 modified "2023-09-23" @default.
- W2293461905 title "Ore Extensions Over (,)-Rings" @default.
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- W2293461905 hasPublicationYear "2015" @default.
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