Some algebraic $K$-theoretic applications of the $\textrm {LF}$ and $\textrm {NF}$ functors
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- by Aderemi O. Kuku PDF
- Proc. Amer. Math. Soc. 37 (1973), 363-365 Request permission
Abstract:
Using previous results of H. Bass, we compute ${\text {Pic}}({P^1}(R))$ and ${L^n}{N^i}{K_0}(\Lambda [G])$ where R is a commutative ring, $\Lambda$ any commutative finite algebra over a Dedekind ring, and G any finitely generated free abelian group or monoid.References
- Hyman Bass, Algebraic $K$-theory, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0249491
- Hyman Bass and M. Pavaman Murthy, Grothendieck groups and Picard groups of abelian group rings, Ann. of Math. (2) 86 (1967), 16β73. MR 219592, DOI 10.2307/1970360
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 37 (1973), 363-365
- MSC: Primary 13D15; Secondary 18F30
- DOI: https://doi.org/10.1090/S0002-9939-1973-0314826-X
- MathSciNet review: 0314826