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- W2145335712 abstract "Every ideal of a Noetherian ring may be represented as a finite intersection of primary ideals. Each primary ideal may be decomposed as an irredundant intersection of irreducible ideals. It is shown that in the case that Q is an M -primary ideal of a local ring ( R, M ) satisfying the condition that Q: M = Q + M s−1 where s is the index of Q , then all irreducible components of Q have index s . ( Q is “index-unmixed”.) This condition is shown to hold in the case that Q is a power of the maximal ideal of a regular local ring, and also in other cases as illustrated by examples." @default.
- W2145335712 created "2016-06-24" @default.
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- W2145335712 date "1985-06-01" @default.
- W2145335712 modified "2023-09-24" @default.
- W2145335712 title "Notes on irreducible ideals" @default.
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- W2145335712 doi "https://doi.org/10.1017/s0004972700009266" @default.
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