Weak Bourbaki Unmixed Rings: a Step towards Non-noetherian Cohen-macaulayness
نویسندگان
چکیده
Weak Bourbaki unmixed rings are defined in this paper. The definition of a weak Bourbaki unmixed ring is a candidate for an “appropriate” definition of CohenMacaulayness. We will see that this definition satisfies many of the conditions we want an “appropriate” definition to satisfy. It is not yet known whether this definition (or any other) satisfies all of the conditions. However, no example has been found of a weak Bourbaki unmixed ring which violates one of the conditions.
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