Krull dimension of modules and involutive ideals

Coutinho, S. C.

doi:10.1090/S0002-9939-1995-1243163-9

Krull dimension of modules and involutive ideals
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by S. C. Coutinho PDF

Proc. Amer. Math. Soc. 123 (1995), 1647-1654 Request permission

Abstract:

In this paper we establish an upper bound for the Krull dimension of a module over a Weyl algebra in terms of a geometrical invariant of its characteristic variety, the involutive dimension. This is followed by some examples which show that this inequality may be strict.

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