#4539: plural wrapper
---------------------------+------------------------------------------------
   Reporter:  burcin       |          Owner:  OleksandrMotsak, AlexanderDreyer
       Type:  enhancement  |         Status:  needs_review                    
   Priority:  major        |      Milestone:  sage-4.7.2                      
  Component:  algebra      |       Keywords:  libsingular plural wrapper sd34 
Work_issues:               |       Upstream:  N/A                             
   Reviewer:               |         Author:                                  
     Merged:               |   Dependencies:  #7797 #11316 #11856             
---------------------------+------------------------------------------------
Changes (by SimonKing):

  * status:  needs_work => needs_review


Old description:

> During SD10 in Nancy, Michael Brickenstein and Burcin Erocal worked on
> making Plural (the non-commutative extension of Singular) accessible from
> Sage. Burcin and Michael also worked at the Plural wrapper on SD 23.5 in
> Kaiserslautern. Oleksandr Motsak and Alexander Dreyer continued this at
> SD 24 in Linz.
>
> The patches that resulted from this work are attached.
>
> Newest functionality:
>
>  * non-commutative rings/polynomials/ideals are fully featured classes
> now (no deriving from commutative ones)!
>  * coercion from basering/Integer types (still needs tests)
>  * flag to check degeneracy conditions on init
>  * relations for non-commutative rings
>  * most relevant functions for rings/polynomials/ideals (mostly adopted
> from MPolynomialRing_libsingular/MPolynomialRing_libsingular/...) e.g.
> std/twostd/syzygy_module/lc/lm/lt/monomial operations
>  * RingWrap and TermOrder were extended
>  * quick and dirty conversion of RingWrap to Sage rings (needs some care
> as the resulting rings may not be unique and therefore may confuse
> coercion)
>  * quotient of a non-commutative ring by a two-sided Groebner basis
>  * shortcut to create graded commutative algebras: SCA
>
> Possible topics that need work are:
>
>  * put the files in sage/algebra/ ???
>  * make sure element does not export functions it doesn't support (e.g.
> gcd)
>  * predefined structures from the library

New description:

 During SD10 in Nancy, Michael Brickenstein and Burcin Erocal worked on
 making Plural (the non-commutative extension of Singular) accessible from
 Sage. Burcin and Michael also worked at the Plural wrapper on SD 23.5 in
 Kaiserslautern. Oleksandr Motsak and Alexander Dreyer continued this at SD
 24 in Linz.

 The patches that resulted from this work are attached.

 Newest functionality:

  * non-commutative rings/polynomials/ideals are fully featured classes now
 (no deriving from commutative ones)!
  * coercion from basering/Integer types (still needs tests)
  * flag to check degeneracy conditions on init
  * relations for non-commutative rings
  * most relevant functions for rings/polynomials/ideals (mostly adopted
 from MPolynomialRing_libsingular/MPolynomialRing_libsingular/...) e.g.
 std/twostd/syzygy_module/lc/lm/lt/monomial operations
  * RingWrap and TermOrder were extended
  * quick and dirty conversion of RingWrap to Sage rings (needs some care
 as the resulting rings may not be unique and therefore may confuse
 coercion)
  * quotient of a non-commutative ring by a two-sided Groebner basis
  * shortcut to create graded commutative algebras: SCA

 Possible topics that need work are:

  * put the files in sage/algebra/ ???
  * make sure element does not export functions it doesn't support (e.g.
 gcd)
  * predefined structures from the library

 '''__Apply__'''

  * [attachment:trac4539_libplural.2.patch]

--

Comment:

 The new [attachment:trac4539_libplural.2.patch] is stand-alone and is
 supposed to summarise the discussion we had here. I think it is ready to
 be reviewed (but as usual I didn't run the tests yet...).

 Apply trac4539_libplural.2.patch

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4539#comment:64>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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