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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Inst Tecnol & Estudios Super Monterrey, Dept Matemat, Tlalpan 14380, MexicoInst Tecnol & Estudios Super Monterrey, Dept Matemat, Tlalpan 14380, Mexico
Castro Perez, Jaime
Rios Montes, Jose
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Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cient, Mexico City 04510, DF, MexicoInst Tecnol & Estudios Super Monterrey, Dept Matemat, Tlalpan 14380, Mexico