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- W1978533078 abstract "Let A⊆B be an extension of integral domains, X be an indeterminate over B, and R=A+XB[X]. We prove that if B is t-flat over A, then R is a PvMD if and only if A is a PvMD and B=AS for S a t-splitting set of ideals of A. We also prove that R is a GGCD domain if and only if A is a GGCD domain and B=AS for S a d-splitting set of ideals of A. Finally, we use this result to recover that R is a GCD domain if and only if A is a GCD domain and B=AS for some splitting set S of A." @default.
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- W1978533078 date "1971-06-01" @default.
- W1978533078 modified "2023-10-16" @default.
- W1978533078 title "On flat overrings, ideal transforms and generalized transforms of a commutative ring" @default.
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- W1978533078 doi "https://doi.org/10.1016/0021-8693(71)90058-5" @default.
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