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arxiv: 1609.03133 · v2 · pith:XHJLFNGSnew · submitted 2016-09-11 · 🧮 math.AC

When almost Cohen-Macaulay algebras map into big Cohen-Macaulay modules

classification 🧮 math.AC
keywords cohen-macaulayalmostwhenalgebrasalgebrabalancedextensionmaps
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In this paper, we show that almost Cohen-Macaulay algebras are solid and in this respect, we seek for some special situation when (a) an almost Cohen-Macaulay algebra will be phantom extension and (b) when it maps into a balanced big Cohen-Macaulay module.

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