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The Prime Spectrum of an MV‐Algebra
Mathematical Logic Quarterly 40 (3):331-346 (1994)
Abstract
In this paper we show that the prime ideal space of an MV-algebra is the disjoint union of prime ideal spaces of suitable local MV-algebras. Some special classes of algebras are defined and their spaces are investigated. The space of minimal prime ideals is studied as wellMy notes
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Citations of this work
Representations of MV-algebras by sheaves.Anna R. Ferraioli & Ada Lettieri - 2011 - Mathematical Logic Quarterly 57 (1):27-43.
Spectra of Quasi-Boolean Algebras.Yajie Lv & Wenjuan Chen - forthcoming - Logic Journal of the IGPL.
Algebraically closed MV-algebras and their sheaf representation.Antonio Di Nola, Anna R. Ferraioli & Giacomo Lenzi - 2013 - Annals of Pure and Applied Logic 164 (3):349-355.
References found in this work
Distributive Lattices.Raymond Balbes & Philip Dwinger - 1977 - Journal of Symbolic Logic 42 (4):587-588.
W-algebras which are Boolean products of members of SR[1] and CW-algebras.Antoni Torrens - 1987 - Studia Logica 46 (3):265 - 274.
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