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is a parent like a set?

asked 2012-10-14 20:51:39 -0500

SLOtoSF gravatar image

Does a parent function like a set? I would like to create a ring with elements which are sets and then place those elements into a matrix so that I can perform certain assigned operations on those elements.

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answered 2012-10-15 04:30:06 -0500

Nicolas M Thiéry gravatar image

Yes! A parent indeed models a mathematical set, more often than not endowed with some structure (a ring, a poset, a vector space, ...).

In your case, you want to implement a class that inherits from Parent, and sets its category to Rings() during the initialization. We don't have yet a minimal example of implementation of a ring, but you can already look at:

sage: S = Monoids()
sage: M = S.example()
sage: M??
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Thanks, is it in the plans to do this for Rings? I was hoping to be able to account for 2 operations (addition and multiplication?).

SLOtoSF gravatar imageSLOtoSF ( 2012-10-15 08:47:41 -0500 )edit

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Asked: 2012-10-14 20:51:39 -0500

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Last updated: Oct 15 '12