Opened 10 years ago
Last modified 7 years ago
#13398 new enhancement
Finite Chain Rings
| Reported by: | Thomas Feulner | Owned by: | Alex Ghitza |
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| Priority: | major | Milestone: | sage-6.4 |
| Component: | algebra | Keywords: | finite chain rings |
| Cc: | Burcin Erocal, David Joyner, David Lucas | Merged in: | |
| Authors: | Thomas Feulner | Reviewers: | |
| Report Upstream: | N/A | Work issues: | |
| Branch: | Commit: | ||
| Dependencies: | Stopgaps: |
Status badges
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 10 years ago by
| Cc: | Burcin Erocal David Joyner added |
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Changed 10 years ago by
| Attachment: | finite_chain_rings.patch added |
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comment:2 Changed 9 years ago by
| Milestone: | sage-5.11 → sage-5.12 |
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comment:3 Changed 9 years ago by
| Milestone: | sage-6.1 → sage-6.2 |
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comment:4 Changed 9 years ago by
| Milestone: | sage-6.2 → sage-6.3 |
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comment:5 Changed 8 years ago by
| Milestone: | sage-6.3 → sage-6.4 |
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comment:6 Changed 7 years ago by
| Cc: | David Lucas added |
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