Suppose I'm working with the ring R = Q[x]/(x^20), and I have a collection of elements f_1, ..., f_10. I want to determine if these elements are linearly independent over Q, and if not, to determine the linear relations between them. I can't figure out how to recover the vector space underlying R from the ring R. Thanks!
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How to recover underlying vector space from quotient of polynomial ring
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How to recover underlying vector space from quotient of polynomial ring
Suppose I'm working with the ring R = Q[x]/(x^20), and I have a collection of elements f_1, ..., f_10. I want to determine if these elements are linearly independent over Q, and if not, to determine the linear relations between them. I can't figure out how to recover the vector space underlying R from the ring R. Thanks!
