Opened 7 years ago
Last modified 4 years ago
#13398 new enhancement
Finite Chain Rings
Reported by: | tfeulner | Owned by: | AlexGhitza |
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Priority: | major | Milestone: | sage-6.4 |
Component: | algebra | Keywords: | finite chain rings |
Cc: | burcin, wdj, dlucas | Merged in: | |
Authors: | Thomas Feulner | Reviewers: | |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
A finite ring R is said to be a chain ring, if its set of left ideals form a chain.
This class of rings is very important in coding theory since it contains finite fields, integer residue rings of prime power order and Galois rings.
This is a first attempt to implement these rings. Furthermore this patch provides a class !FiniteRing_base which stores the arithmetic of finite rings in tables.
Attachments (1)
Change History (7)
comment:1 Changed 7 years ago by
- Cc burcin wdj added
Changed 6 years ago by
comment:2 Changed 6 years ago by
- Milestone changed from sage-5.11 to sage-5.12
comment:3 Changed 5 years ago by
- Milestone changed from sage-6.1 to sage-6.2
comment:4 Changed 5 years ago by
- Milestone changed from sage-6.2 to sage-6.3
comment:5 Changed 5 years ago by
- Milestone changed from sage-6.3 to sage-6.4
comment:6 Changed 4 years ago by
- Cc dlucas added
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