Abstract
The idea of reductivity is introduced and basic properties are established. The major result is that a distributive lattice is reductive if and only if it has an essential extension which is a product of chains.
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Gierz, G., Stralka, A. Distributive lattices with sufficiently many chain intervals. Algebra Universalis 20, 77–89 (1985). https://doi.org/10.1007/BF01236807
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DOI: https://doi.org/10.1007/BF01236807