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.
W eibel, The K-Book: An Introduction to Algebraic K -theory, Graduate studies in math- ematics (volume 145), American Mathematical Society, Prov idence, Rhode Island, (2013)
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2022 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.