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NONCOMMUTATIVE LOCALIZATION AND CHAIN COMPLEXES I. ALGEBRAIC K- AND L-THEORY
The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined for any collection (sigma) of morphisms of f.g. projective left R-modules. We exhibit (sigma)^−1 R as the endomorphism ring of R in an appropriate ...
REPRESENTATIONS OF ALGEBRAS AS UNIVERSAL LOCALIZATIONS
(to appear in the Mathematical Proceedings of the Cambridge Philosophical Society, 2002-05-03)
Given a presentation of a finitely presented group, there is a natural way to represent the group as the fundamental group of a 2-complex. The first part of this paper demonstrates one possible way to represent a finitely ...