2012/12/28 by C. L. Wangneo, Wangneo, C. L.
Computer Science · Mathematics · #16 #16Dxx #16Pxx #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1212.6459
openalex publication_date 2012/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we consider the links of prime ideals of certain skew polynomial rings and prove our main theorem, namely theorem [5], which states the following.Let R be a noetherian ring that is link k-symmetric and let σ be an automorphism of R.Let S(R) denote the skew polynomial ring R[x,σ]. Let B be a prime ideal of S(R) that is extended from R. Then, for a prime ideal D of S(R),there is a link D\rightarrowB in the ring S(R) implies that D is an extended prime ideal of S(R).