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Depth (ring theory)

In commutative and homological algebra, depth is an important invariant of rings and modules. Although depth can be defined more generally, the most common case considered is the case of modules over a commutative Noetherian local ring. In this case, the depth of a module is related with its projective dimension by the Auslander–Buchsbaum formula. A more…

Definition, Depth zero rings & Overview

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Depth zero rings

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Depth (ring theory)

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Avg. degree1.91
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depth commutative ring displaystyle dimension local rings module modules ideal noetherian projective maximal mathfrak auslander buchsbaum formula case zero cohen-macaulay

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