Proves exact sequence 0 → Pic(A) → K0(A)* → B(A) → 0 for any commutative ring A, with B(A) ≅ B(K0(A)) ≅ H0(A)*, split exactness for Dedekind domains, and applications to idempotent lifting and projective module supports.
de Jong et al., The Stacks Project, see http://stack s.math.columbia.edu., (2022)
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On the Grothendieck ring and the relation of its group of units with the Picard group
Proves exact sequence 0 → Pic(A) → K0(A)* → B(A) → 0 for any commutative ring A, with B(A) ≅ B(K0(A)) ≅ H0(A)*, split exactness for Dedekind domains, and applications to idempotent lifting and projective module supports.