|
| << vorige | volgende >> |
Tijdschrift beschrijving
Alle jaargangen van het bijbehorende tijdschrift
Alle afleveringen van het bijbehorende jaargang
Alle artikelen van de bijbehorende aflevering
Details van artikel 22 van 24 gevonden artikelen
| Titel: |
The Singly Generated Unital Rings with Only Finitely Many Unital Subrings |
| Auteur: |
Dobbs, David E. Mullins, Bernadette Picavet-L'Hermitte, Martine |
| Verschenen in: |
Communications in algebra |
| Paginering: | Jaargang 36 (2008) nr. 7 pagina's 2638-2653 |
| Jaar: |
2008-07 |
| Inhoud: |
The rings of the title are characterized. In view of earlier work on this problem, the main contribution here is the following result. Let R be a (commutative unital) ring extension of of the form [t] which is not an integral domain and which is not integral over . Then R has only finitely many (unital) subrings if and only if there exist nonzero integers a, b with at = b such that the minimal positive such a and the corresponding b satisfy (i) [image omitted] is integral over and (ii) there does not exist a prime number p such that ker(ϕ)⊆ p[X], where ϕ is the (unital) ring homomorphism [X] → R sending X to t. It is also proved that if T is any finite ring and n any nonzero integer, then T × [1/n] has only finitely many subrings. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 22 van 24 gevonden artikelen
| << vorige | volgende >> |