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math.RA2002
Representations of algebras as universal localizations
Amnon Neeman, Andrew Ranicki, Aidan Schofield
Every finitely presented algebra S is shown to be Morita equivalent to the universal localization σ^{-1}R of a finite dimensional algebra R. The construction provides many examples…
math.RA2001
Noncommutative localization and chain complexes I. Algebraic K- and L-theory
Amnon Neeman, Andrew Ranicki
The noncommutative (Cohn) localization S^{-1}R of a ring R is defined for any collection S of morphisms of f.g. projective left R-modules. We exhibit S^{-1}R as the endomorphism ri…