#17160: Finitely generated axiom for (mutiplicative) magmas, semigroups,
monoids,
groups
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Reporter: nthiery | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: categories | Resolution:
Keywords: | Merged in:
Authors: Nicolas M. Thiéry | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/nthiery/categories/finitely- | f027ce2b5e1abe22d49bcdc96f2cfeebced8fc16
generated-magmas-17160 | Stopgaps:
Dependencies: #10668 |
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Comment (by tscrim):
Saying this ticket is for a specified fixed set of generators contracts
this statement:
> And for modules, we alreay have `FiniteDimensional`.
I think we should make an analogy to `WithBasis` and `FiniteDimensional`
by having 2 axioms, `WithGeneratingSet` and `FinitelyGenerated`. This
would give `FinitelyGenerated` a purpose, would still allow the current
goal of not having to specify the enumeration, and allow the option for
infinitely generated objects.
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Ticket URL: <http://trac.sagemath.org/ticket/17160#comment:9>
Sage <http://www.sagemath.org>
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