[GAP Forum] Polynomial Ring of a finite local ring

Alexander Hulpke hulpke at me.com
Fri Dec 9 14:46:38 GMT 2011


Dear Forum,

On Dec 9, 2011, at 2:39 AM, Aasma Shaheen wrote:

> How can we find the polynomial Ring of a finite local ring in one
> indeterminate.for example Z4[X].


You can use

X(Integers mod 4,"x");

to create indeterminates (and from them form polynomials), but polynomial rings as separate objects so far are only implemented over fields and integral domains. Also polynomial factorization etc. is not available over these rings.

Best,

   Alexander Hulpke


-- Colorado State University, Department of Mathematics,
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email: hulpke at math.colostate.edu, Phone: ++1-970-4914288
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