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The cancellable range of rings
We unify the cancellation property of rings with stable range one and the principal ideal domain by introducing a new notion which is called “cancellable range”. It is proved that if a ring R has cancellable rang...
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Categories of power stably free modules and theirK 0 groups
The conceptions of stably free order, stably free rank and power stably free isomorphism are given. The structure of power stably free module categories over a JBN ring (not necessarily commutative) and the K0 gr...
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Finitely generated projective modules over exchange rings
This paper studies finitely generated projective modules over exchange rings. We prove that cancellation holds inp(R), andK o (R) is completely determined by the continuous maps fr...