#18002: Submonoids and subsemigroup defined by generators
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Reporter: virmaux | Owner:
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: monoids, days64 | Merged in:
Authors: Nicolas M. | Reviewers: Anne Schilling
Thiéry, Aladin Virmaux | Work issues:
Report Upstream: N/A | Commit:
Branch: public/automatic- | a8306e4da2265d06e6fc20ca3f16989632132fee
monoid/18002 | Stopgaps:
Dependencies: #17160 |
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Description changed by nthiery:
Old description:
> Implement subsemigroups generated by elements of an ambient
> semigroups, lazily constructing all the elements and their Cayley
> graph relations.
>
> Here is a quick example from the documentation:
> {{{
> sage: R = IntegerModRing(12)
> sage: R.semigroup([R(3), R(5)], one = R.one())
> sage: M.cardinality()
> 4
> }}}
>
> This builds on and supersedes the old patch
> `automatic_monoid-nt.patch` from the Sage-Combinat mercurial queue.
New description:
Implement subsemigroups generated by elements of an ambient
semigroups, lazily constructing all the elements and their Cayley
graph relations.
Here is a quick example from the documentation:
{{{
sage: R = IntegerModRing(12)
sage: R.submonoid([R(3), R(5)], one = R.one())
sage: M.cardinality()
4
}}}
This builds on and supersedes the old patch
`automatic_monoid-nt.patch` from the Sage-Combinat mercurial queue.
--
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Ticket URL: <http://trac.sagemath.org/ticket/18002#comment:57>
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