Opened 7 years ago

Last modified 4 years ago

#13398 new enhancement

Finite Chain Rings

Reported by: tfeulner Owned by: AlexGhitza
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)

finite_chain_rings.patch (88.0 KB) - added by tfeulner 6 years ago.

Download all attachments as: .zip

Change History (7)

comment:1 Changed 7 years ago by tfeulner

  • Cc burcin wdj added

Changed 6 years ago by tfeulner

comment:2 Changed 6 years ago by jdemeyer

  • Milestone changed from sage-5.11 to sage-5.12

comment:3 Changed 5 years ago by vbraun_spam

  • Milestone changed from sage-6.1 to sage-6.2

comment:4 Changed 5 years ago by vbraun_spam

  • Milestone changed from sage-6.2 to sage-6.3

comment:5 Changed 5 years ago by vbraun_spam

  • Milestone changed from sage-6.3 to sage-6.4

comment:6 Changed 4 years ago by dlucas

  • Cc dlucas added
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