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Peano rings of arbitrary global dimension. (English) Zbl 0416.03038

MSC:
03C60 Model-theoretic algebra
13L05 Applications of logic to commutative algebra
13C15 Dimension theory, depth, related commutative rings (catenary, etc.)
13E05 Commutative Noetherian rings and modules
13E10 Commutative Artinian rings and modules, finite-dimensional algebras
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations
03E50 Continuum hypothesis and Martin’s axiom
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