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- W2741442973 abstract "Let R be a commutative Noetherian ring with unity and I a regular ideal in R. The Ratli¤-Rush closure of the ideal I is e I = S (I n+1 : I n ), and I is called Ratli¤-Rush if I = e I. It is very rare to …nd Ratli¤- Rush ideals, with all powers that are also Ratli¤-Rush, in polynomial rings with multivariable. In this paper we construct in…nite families of such ideals. To prove the Ratli¤-Rush closedness we use a new explicit decomposition of powers of certain monomial ideals. Moreover, to compute e" @default.
- W2741442973 created "2017-08-08" @default.
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- W2741442973 date "2012-01-01" @default.
- W2741442973 modified "2023-09-27" @default.
- W2741442973 title "In…nite Families of Ratli¤-Rush Ideals" @default.
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