Ore Extensions over Pseudo-valuation Rings
نویسندگان
چکیده
Let R be a commutative Noetherian Q-algebra (Q is the field of rational numbers). Let δ be a derivation of R and σ be an automorphism of R. Then we prove the following: 1. If R is a Pseudo-valuation ring, then R[x, δ] is also a Pseudo-valuation ring. 2. If R is a divided ring, then R[x, δ] is also a divided ring. 3. If R is a Pseudo-valuation ring, thenR[x, x−1, σ] is also a Pseudo-valuation ring. 4. If R is a divided ring, then R[x, x−1, σ] is also a divided ring. Mathemmatics Subject Classification: Primary 16-XX; Secondary 16P40, 16P50, 16U20
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