Let R = Z Z · · · (the collection of all sequences of
Chapter 18, Problem 42E(choose chapter or problem)
Let R = Z ? Z ? · · · (the collection of all sequences of integers under component wise addition and multiplication). Show that R has ideals I1, I2, I3, . . . with the property that I1 ? I2 ? I3? · · · . (Thus R does not have the ascending chain condition.)
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