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kernel of a matrix defined over polynomial rings

asked 2018-05-28 00:40:42 +0100

arpit gravatar image

updated 2019-08-26 20:59:52 +0100

FrédéricC gravatar image

I have a matrix defined as a function of variables in a polynomial ring defined over finite field as follows-


I want to calculate the kernel of this matrix but the kernel function


gives an error. What am I doing wrong?

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answered 2018-05-28 03:43:10 +0100

nbruin gravatar image

You're not doing something wrong. You are just asking something that hasn't been implemented. As a workaround you can look at the kernel over the fraction field:


From that you may be able to glean enough information on the kernel over your laurent polynomial ring. In general, modules over polynomial rings can get pretty involved.

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Asked: 2018-05-28 00:40:42 +0100

Seen: 339 times

Last updated: May 28 '18