#17435: Cythonise path algebra elements
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Reporter: SimonKing | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: algebra | Resolution:
Keywords: path algebra elements | Merged in:
Authors: Simon King | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #16453 | Stopgaps:
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Changes (by {'newvalue': u'Simon King', 'oldvalue': ''}):
* author: => Simon King
* component: PLEASE CHANGE => algebra
* dependencies: => #16453
* keywords: => path algebra elements
* type: PLEASE CHANGE => enhancement
Old description:
New description:
#16453 provides a Cython version of quiver paths. The purpose of this
ticket is to introduce a Cython implementation of path algebra elements.
Note that the arithmetic appears to be faster than the current default
implementation of free associative algebras. So, it might make sense to
use (the more general) path algebras to become the default for free
associative algebras.
The next step shall be to implement computation of Gröbner bases. minimal
generating sets and minimal projective resolutions for modules over path
algebras, with a non-commutative F5 algorithm.
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Ticket URL: <http://trac.sagemath.org/ticket/17435#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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