#7797: Full interface to letterplace from singular
---------------------------+------------------------------------------------
   Reporter:  burcin       |          Owner:  burcin                            
             
       Type:  enhancement  |         Status:  needs_review                      
             
   Priority:  major        |      Milestone:  sage-4.7                          
             
  Component:  algebra      |       Keywords:  singular                          
             
Work_issues:               |       Upstream:  N/A                               
             
   Reviewer:               |         Author:  Simon King, Michael Brickenstein, 
Burcin Erocal
     Merged:               |   Dependencies:                                    
             
---------------------------+------------------------------------------------
Changes (by SimonKing):

  * status:  needs_work => needs_review


Old description:

> The new aim of this ticket is to add an interface to the
> [http://www.singular.uni-kl.de/Manual/latest/sing_427.htm#SEC480
> letterplace] component of Singular, namely providing
>
>  * A new implementation of free algebras with fast arithmetic.
>  * Degree-wise Gröbner basis computation for twosided homogeneous ideals
> of free algebras.
>  * Normal form computation with respect to such ideals.
>
> and in addition
>
>  * One- and twosided ideals of noncommutative rings.
>  * Quotient rings of such ideals
>
> (Note that the original purpose was merely to compute Groebner bases up
> to a degree bound of two-sided ideals of free algebras, but without
> normal form computation etc.)
>
> Examples are below, in the comments.
>
> Apply trac7797-full_letterplace_wrapper_rel11068.patch
>
> Depends on #11068

New description:

 The new aim of this ticket is to add an interface to the
 [http://www.singular.uni-kl.de/Manual/latest/sing_427.htm#SEC480
 letterplace] component of Singular, namely providing

  * A new implementation of free algebras with fast arithmetic.
  * Degree-wise Gröbner basis computation for twosided homogeneous ideals
 of free algebras.
  * Normal form computation with respect to such ideals.

 and in addition

  * One- and twosided ideals of noncommutative rings.
  * Quotient rings of such ideals

 (Note that the original purpose was merely to compute Groebner bases up to
 a degree bound of two-sided ideals of free algebras, but without normal
 form computation etc.)

 Examples are below, in the comments.

 Apply trac7797-full_letterplace_wrapper_rel11068.patch

 Depends on #11068 #11268

--

Comment:

 Replying to [comment:44 SimonKing]:
 > I just found that the documentation (at least with #9976 applied) is not
 good. Some stuff is included that certainly does not belong there.

 Actually, on second thought, it belongs there: I am talking about the two
 singular_function instances included in the module. The main problem was
 that singular_function includes the documentation provided by Singular
 without taking care of formatting -- resulting in numerous errors (e.g.,
 back ticks are misinterpreted as the beginning of Latex expressions, the
 indentation is handled differently, and so on).

 In #11268, I suggest to take care if it by turning the Singular
 documentation into a verbose code block. With that change, the
 documentation looks a lot better. I therefore make it a new dependency.

 Depends on #11068 #11268

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7797#comment:45>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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