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The Prime Spectrum of an MV‐Algebra
Author(s) -
Belluce L. P.,
Nola Antonio Di,
Sessa Salvatore
Publication year - 1994
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19940400304
Subject(s) - mathematics , prime (order theory) , ideal (ethics) , boolean prime ideal theorem , prime ideal , associated prime , disjoint sets , mathematics subject classification , space (punctuation) , spectrum (functional analysis) , algebra over a field , disjoint union (topology) , maximal ideal , pure mathematics , discrete mathematics , combinatorics , computer science , physics , quantum mechanics , philosophy , epistemology , operating system
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 well. Mathematics Subject Classification : 03B50, 06D99.