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On the Structure of Residue Rings of Prime Ideals in Algebraic Number Fields, Part I: Unramified Primes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Elia, Michele Interlando, J. Carmelo Rosenbaum, Ryan |
| Copyright Year | 2010 |
| Abstract | The explicit description of the additive and multiplicative structures of rings of residues in maximal orders of number fields is useful both in theory and application. However, a compact account of the principal results is not easily accessible. In this contribution, a full description of those structures in the style of the theory of rings with identity as given by Bernard R. McDonald is provided. The central topic of this first part concerns the structure of quotient rings of maximal orders of algebraic number fields by powers of unramified prime ideals. The case where the prime ideals are ramified is the subject of a companion paper. Mathematics Subject Classification: 11R04, 11R27, 11Txx |
| Starting Page | 565 |
| Ending Page | 589 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| Volume Number | 5 |
| Alternate Webpage(s) | http://www.m-hikari.com/imf-2010/53-56-2010/eliaIMF53-56-2010.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
