The Spectral and the Maximal Spectral Space

Chapter
Part of the Trends in Logic book series (TREN, volume 35)

Abstract

Generalizing the construction of the Stone space of a boolean algebra, the set of prime ideals of every MV-algebra A is endowed with the hull-kernel (also known as Zariski, or spectral) topology. The resulting space is denoted spec(A). In contrast to the Stone space of a boolean algebra, spec(A) is generally not rich enough to uniquely characterize A up to isomorphism. Moreover, unless A is hyperarchimedean, spec(A) strictly contains the compact Hausdorff space.

Keywords

Prime Ideal Boolean Algebra Maximal Ideal Compact Hausdorff Space Sheaf Representation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Department of Mathematics “Ulisse Dini”University of FlorenceFlorenceItaly

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