3 papers
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…
math.CT1999
K-Theory for Triangulated Categories III(A): The Theorem of the Heart
Amnon Neeman
This is the fourth installment of a series. The main point of the entire series is the following: given a triangulated category T, it is possible to attach to it a K-theory space.