Witt vectors which are rational functions

Autor: Bryden, J., Varadarajan, I.
Zdroj: Communications in Algebra; January 1993, Vol. 21 Issue: 11 p4263-4270, 8p
Abstrakt: One of the basic results proved by G. Almkvist asserts that K0 EndP(A) ≈K0(A) × A for any commutative ring A, where P(A) is the category of finitely generated projective modules over A and Ā0 is the subring of the ring 1 + tA[[t]] = W(A) of Witt Vectors over A constituted by those elements of 1 + tA [[t ]] which represent rational functions. In [3] Almkvist tries to give a more concrete discription of Ā0 in two specific cases, namely when A is any algebraically closed field or when A is the field [image omitted]  of real numbers However the description [image omitted]  given in [3] is erroneous. In the present note we will not only correct the error committed by Almkvist in (31 but also obtain a concrete description ofk0 for my field k. We will also study the special case when k is any real closed field.
Databáze: Supplemental Index