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We study a notion of dimension which was introduced by R. Heitmann in hisremarkable paper in 1984, and also a related notion, implicit in the proofs inhis paper. We develop these notions in the general framework of distributivelattices and spectral spaces. We obtain in this way constructive versions ofimportant theorems in commutative algebra, with simpler proofs than theclassical ones, and some new results.

Dimension de Heitmann des treillis distributifs et des anneaux commutatifs