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jlobillo
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Post subject: How opposite function works Posted: Thu Jan 07, 2010 1:01 pm |
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Joined: Thu Dec 24, 2009 11:17 am Posts: 4
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Dear friends,
I'm writting a library about Hopf algebras such that the underlying algebras structure fits the algebras managed by Singular, commutative and non-commutative ones. Since the antipode map in an antialgebra morphism I have decided to define it over the opposite algebra. The problem is that opposite([ring]) returns the same ring if it is commutative. However oppose() always returns the opposite element.
So I think that it would be better than the opposite() function always returns the same construction as in the non-commutative setting, i.e. changing lowercase to uppercase and changing the order of variables. This allows a more compact definition of new code.
Best,
Javier Lobillo
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levandov
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Post subject: Re: How opposite function works Posted: Wed Feb 03, 2010 2:47 pm |
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Joined: Thu Aug 11, 2005 8:03 pm Posts: 40 Location: RWTH Aachen, Germany
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Dear Javier,
thank you for the suggestion. Yes, it's a nice idea to return a different ring and make synchronization with the way how "oppose" works. We'll keep it in mind.
With best regards, Viktor
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