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- W2041539555 abstract "Let A be a (commutative, Noetherian) local ring. The big Cohen-Macaulay conjecture asserts that if a 1 ,…, a n is a system of parameters for A there exists an A -module M such that a 1 ,…, a n is an M -sequence. Then we say that M is a big Cohen-Macaulay module with respect to a 1 ,…, a n . This conjecture implies some important conjectures in commutative algebra and has been established affirmatively by M. Hochster for any ring containing a field as a subring (see [9] for further information)." @default.
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- W2041539555 date "1987-09-01" @default.
- W2041539555 modified "2023-09-23" @default.
- W2041539555 title "Balanced big Cohen-Macaulay modules and flat extensions of rings" @default.
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- W2041539555 doi "https://doi.org/10.1017/s0305004100067232" @default.
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