# Prime factor rings of skew polynomial rings over a commutative dedekind domain
> Wang Y.

URL kanonis: https://discover.unhas.ac.id/publications/prime-factor-rings-of-skew-polynomial-rings-over-a-commutative-dedekind-domain
Jurnal / Konferensi: Rocky Mountain Journal of Mathematics
Tahun terbit: 2012
DOI: https://doi.org/10.1216/RMJ-2012-42-6-2055
ISSN: 00357596
Kuartil SJR: Q2
Citations: 1

## Authors
- Wang Y.

## Abstract
This paper is concerned with prime factor rings of a skew polynomial ring over a commutative Dedekind domain. Let P be a non-zero prime ideal of a skew polynomial ring R = D[x; ], where D is a commutative Dedekind domain and is an automorphism of D. If P is not a minimal prime ideal of R, then R/P is a simple Artinian ring. If P is a minimal prime ideal of R, then there are two different types of P , namely, either P = p[x; ] or P = P R, where p is a -prime ideal of D, P is a prime ideal of K[x; ] and K is the quotient field of D. In the first case R/P is a hereditary prime ring and in the second case, it is shown that R/P is a hereditary prime ring if and only if M 2 P for any maximal ideal M of R. We give some examples of minimal prime ideals such that the factor rings are not hereditary or hereditary or Dedekind, respectively.

## Keywords
- Mathematics
- Polynomial ring
- Skew
- Pure mathematics
- Dedekind cut
- Semiprime ring
- Commutative algebra
- Prime (order theory)
- Commutative ring
- Commutative property
- Polynomial
- Combinatorics
- Mathematical analysis
- Computer science
- Telecommunications

---
Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
Saat mengutip, gunakan DOI bila tersedia atau URL kanonis di atas.