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- W2044769080 abstract "A Q-ring is a commutative ring in which every ideal is a product of primary ideals. We show that R is a Q-ring if and only if R is a Laskerian ring (every ideal has a primary decomposition) and every nonmaximal prime ideal of R is finitely generated and locally principal. We also show that R[X] or R[X] is a Q-ring if and only if R is a finite direct product of Dedekind domains and special principal ideal rings." @default.
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- W2044769080 date "1987-04-01" @default.
- W2044769080 modified "2023-09-27" @default.
- W2044769080 title "Commutative rings in which every ideal is a product of primary ideals" @default.
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- W2044769080 doi "https://doi.org/10.1016/0021-8693(87)90014-7" @default.
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