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On the order of prime ideals

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Abstract

A posetX is isomorphic to the poset of all prime ideals of a (distributive) lattice with zero and unit if, and only if,X is the projective limit of an inverse system of finite posets.

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References

  1. Garrett Birkhoff, Lattice Theory (A.M.S. Colloq. Publ. 25 Providence, R.I) 3rd Edition 1967.

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Authors and Affiliations

  1. University Sheffield, UK

    T. P. Speed

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  1. T. P. Speed
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Speed, T.P. On the order of prime ideals. Algebra Univ. 2, 85–87 (1972). https://doi.org/10.1007/BF02945013

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  • DOI: https://doi.org/10.1007/BF02945013

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