#13398: Finite Chain Rings
---------------------------+------------------------------------------------
Reporter: tfeulner | Owner: AlexGhitza
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.4
Component: algebra | Keywords: finite chain rings
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Thomas Feulner
Merged in: | Dependencies:
Stopgaps: |
---------------------------+------------------------------------------------
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.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13398>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
