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Siberian Mathematical Journal

, Volume 46, Issue 2, pp 283–292 | Cite as

Spectra of rings and lattices

  • Yu. L. Ershov
Article

Abstract

We construct a covariant functor from the category of distributive lattices with bottom and top whose morphisms are bottom and top preserving embeddings to the category of semisimple unital algebras over an arbitrary field whose morphisms are unital embeddings. The spectrum of a distributive lattice is homeomorphic to the spectrum of the ring (algebra) that is its image under this functor.

Keywords

spectrum of a ring spectrum of a distributive lattice 

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • Yu. L. Ershov
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirsk

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