Abstract
In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.
| Original language | English |
|---|---|
| Pages (from-to) | 1161-1170 |
| Number of pages | 10 |
| Journal | Open Mathematics |
| Volume | 15 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2017 |
Keywords
- Ascending chain condition on principal ideals
- Composite Hurwitz polynomial ring h(R,D)
- Composite Hurwitz series ring H(R,D)
- Noetherian ring
- Présimplifiable ring
- S-Noetherian ring