Ideals generated by powers of elements

1994/06/01 by D.D. Anderson, D. D. Anderson, Kent R. Knopp +1 · 1 citation
Mathematics · Computer Science · #Rings, Modules, and Algebras #Commutative Algebra and Its Applications #Polynomial and algebraic computation

paper · pdf · doi:10.1017/s0004972700016488

Abstract

For an ideal I in a commutative ring R we consider the ideal I n = ( i n | i ∈ I ). We show that if n ! is a unit in R , then I n = I n . We give an example of a doubly generated ideal I with I s not finitely generated.

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