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Some algebraic $ K$-theoretic applications of the $ {\rm LF}$ and $ {\rm NF}$ functors

Author: Aderemi O. Kuku
Journal: Proc. Amer. Math. Soc. 37 (1973), 363-365
MSC: Primary 13D15; Secondary 18F30
MathSciNet review: 0314826
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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 [Enhancements On Off] (What's this?)

  • [1] H. Bass, Algebraic K-theory, Benjamin, New York, 1968. MR 40 #2736. MR 0249491 (40:2736)
  • [2] H. Bass and M. P. Murthy, Grothendieck groups and Picard groups of abelian group rings, Ann. of Math. (2) 86 (1967), 16-73. MR 36 #2671. MR 0219592 (36:2671)

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Keywords: LF, NF, $ {L^n}{N^i}{K_0}$, oriented cycle, fibre-product category, Dedekind ring, finitely generated abelian group, E-surjective
Article copyright: © Copyright 1973 American Mathematical Society

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