plural wrapper

[burcin]

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_rel11761.patch
• attachment: trac4539_pickling_rel10903.patch
• attachment: trac4539_normal_forms_rel10903.patch
• attachment: trac4539_fix_docs_rel10903.patch

Depends on #11316
Depends on #11856
Depends on #10903
Depends on #9138
Depends on #11900
Depends on #11115
Depends on #11068
Depends on #11761

CC: @saliola @mwhansen @alexanderdreyer @sagetrac-OleksandrMotsak @sagetrac-PolyBoRi @malb @simon-king-jena

Component: algebra

Keywords: libsingular plural wrapper sd10 sd23.5 sd24 sd34

Author: Michael Brickenstein, Burcin Erocal, Oleksandr Motsak, Alexander Dreyer, Simon King

Reviewer: Simon King, Alexander Dreyer

Merged: sage-5.0.beta1

Issue created by migration from https://trac.sagemath.org/ticket/4539

[burcin]

initial wrapper for plural

[burcin]

Attachment: plural_1.patch.gz

better user interface for plural rings

[sagetrac-PolyBoRi]

Attachment: plural_2.patch.gz

[aghitza]

comment:1

Attachment: letterplace.py.gz

[burcin]

comment:3

The letterplace interface in attachment: letterplace.py is now at #7797.

[burcin]

Attachment: plural_1.sage-4.4.4.patch.gz

rebased to 4.4.4

[burcin]

rebased to 4.4.4

[burcin]

Attachment: plural_2.sage-4.4.4.patch.gz

Attachment: plural_3.patch.gz

appy on top of 1 and 2, new classes for plural objects which don't inherit from the commutative ones

[sagetrac-PolyBoRi]

Attachment: plural_functions.2.patch.gz