et J be the ideal of R = Cla, b, c, d] generated by a²b, b³c, cd, d5 a. a) Write A = V(J) as a union of irreducible algebraic subsets, with none being contained in another. b) What is I(V(J)) ? ( 1

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 50E
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Let J be the ideal of R = C[a,b, c, d] generated by
a²b, b³c, c*d, d³a.
4
(a) Write A =V(J) as a union of irreducible algebraic subsets, with none being contained in another.
(b) What is I(V(J))?(
Transcribed Image Text:Let J be the ideal of R = C[a,b, c, d] generated by a²b, b³c, c*d, d³a. 4 (a) Write A =V(J) as a union of irreducible algebraic subsets, with none being contained in another. (b) What is I(V(J))?(
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