This text deals with A1-homotopy theory over a base field, ie, with the natural homotopy
theory associated to the category of smooth varieties over a field in which the affine line is …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

Constructive algebra can be seen as an abstract version of computer algebra. In computer
algebra, on the one hand, one attempts to construct efficient algorithms for solving concrete …

Problems About Torsors over Regular Rings | Acta Mathematica Vietnamica Skip to main
content SpringerLink Account Menu Find a journal Publish with us Track your research Search …

Let R be a regular noetherian ring. A central question concerning projective modules over
polynomial R-algebras is the following.(1.1) BASS-QUILLEN CONJECTURE ([2] Problem …

The Grothendieck--Serre conjecture asserts that on a regular local ring, there is no nontrivial
reductive torsor that becomes trivial over the fraction field. This conjecture is answered in the …

Let A be a smooth affine domain of dimension d over an infinite perfect field k and let n be an
integer such that 2n⩾ d+ 3. Let I⊂ A [T] be an ideal of height n. Assume that I=(f1 …

Mathematische Zeitschrift Page 1 Math. Z. 184, 425-433 (1983) Mathematische Zeitschrift 9
Springer-Verlag 1983 The Serre Problem for Discrete Hodge Algebras Ton Vorst Econometric …

Let R denote a commutative Noetherian ring with identity. If M is a finitely generated R-
module we let, LL (M) denote the cardinality of a minimal generating set for M. The conormal …

We compute low-dimensional K-groups of certain rings associated with the study of the
Hermite ring conjecture. This includes a monoid ring whose low-dimensional K-groups were …