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determine u(R[ x] )?

asked 2013-11-24 18:42:52 +0200

dewdrop gravatar image

updated 2015-01-13 22:00:18 +0200

FrédéricC gravatar image

determine u(R[ x] )?

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What is u, what is R, and what is x?

ppurka gravatar imageppurka ( 2013-11-24 20:40:44 +0200 )edit

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answered 2013-12-13 12:47:59 +0200

John Cremona gravatar image

Are you wanting to find the unit group of an arbitrary polynomial ring? That is more of a mathematical question than a Sage question. If R is commutative then the units in R[X] are the polynomials with unit constant coefficient and all other coefficients nilpotent (exercise), so if R is an integral domain you just get the constant units.

What exactly would you expect from Sage here?

If your question is different, please explain more carefully!

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Asked: 2013-11-24 18:42:52 +0200

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Last updated: Dec 13 '13