1 Basic notions.- 2 Chang completeness theorem.- 3 Free MV-algebras.- 4 ?ukasiewicz ?-valued calculus.- 5 Ulam’s game.- 6 Lattice-theoretical properties.- 7 MV-algebras and ?-groups.- 8 Varieties of MV-algebras.- 9 Advanced topics.- 10 Further Readings.
`Meanwhile, a rich structure theory for MV-algebras has been
developed, relating them e.g. to l-groups and to nonstandard reals.
The present book develops these matters in detail, and gives a
coherent presentation of the core results of the last 15 years or
so, also adding unpublished material of the authors. For future
work on MV-algebras, this monograph will be an indispensable
source.'
Mathematical Reviews, 2001
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