On Pseudo-valuation rings and their extensions

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Author: Bhat, V.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154862
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Pseudo-valuation rings and their extensions / V.K. Bhat // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 25–30. — Бібліогр.: 14 назв. — англ.

Let R be a commutative Noetherian Q-algebra (Q
 is the field of rational numbers). Let σ be an automorphism of R and δ a σ-derivation of R. We define a δ-divided ring and prove the following:
 
 (1)If R is a pseudo-valuation ring such that x∉P for any prime ideal P of R[x;σ...