#7797: basic interface to letterplace from singular
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   Reporter:  burcin                               |       Owner:  burcin      
       Type:  enhancement                          |      Status:  needs_review
   Priority:  major                                |   Milestone:  sage-4.6    
  Component:  algebra                              |    Keywords:  singular    
     Author:  Michael Brickenstein, Burcin Erocal  |    Upstream:  N/A         
   Reviewer:                                       |      Merged:              
Work_issues:                                       |  
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Comment(by SimonKing):

 Replying to [comment:14 AlexanderDreyer]:
 > As I understand, this makes the Singular's letterplace functionality
 accessible to Sage (in addition to the Plural functionality of #4539).

 What is meant by "Letterplace functionality"? Is it "simply" computing
 Gröbner basis with degree bound in free associative algebras?

 Something that irritates me (and I already asked in the Singular forum) is
 that I could not find a way to ''apply'' such Groebner basis, e.g., in
 order to compute a normal form of an element of the free associative
 algebra w.r.t. this Gröbner basis. Also I tend to call ''basic
 arithmetic'' a funtionality.

 Replying to [comment:15 burcin]:
 > This ticket is only about exposing the Groebner basis computation. We
 didn't think arithmetic was usable since
 >
 >  * there is a degree bound, and
 >  * it is a hack in Singular.
 >
 > If you think the arithmetic should be wrapped as well, that should be on
 a different ticket. I don't know how much the Plural wrapper (#4539) will
 help with that.

 OK. ''If'' I find the time, I'll finish the wrappers that I hacked
 together yesterday. The new ticket will then provide two alternative
 implementations of free (associative) algebras. One will be based on Gap,
 the other on Letterplace. The latter will be a hack as well: While doing
 arithmetic, the degree bound will be dynamically adapted. Currently I use
 Expect interfaces, but I guess using the Plural wrapper will improve
 things further.

 Cheers,
 Simon

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7797#comment:16>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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