10 citations · 34 across the 26 of their papers we have counts for
11 papers · 1 filter
Unimodular rows over monoid rings
Joseph Gubeladze
For a commutative Noetherian ring R of dimension d and a commutative cancellative monoid M, the elementary action on unimodular n-rows over the monoid ring R[M] is transitive for n…
K-theory of toric varieties revisited
Joseph Gubeladze
After surveying higher K-theory of toric varieties, we present Totaro's old (c. 1997) unpublished result on expressing the corresponding homotopy theory via singular cohomology. It…
On Bass' question for finitely generated algebras over large fields
Joseph Gubeladze
Recently Cortinas-Haesemayer-Walker-Weibel gave affirmative answer to Bass' 1972 question on NK-groups for algebras of essentially finite type over large fields of characteristic 0…
Global coefficient ring in the nilpotence conjecture
Joseph Gubeladze
In this note we show that the nilpotence conjecture for toric varieties is true over any regular coefficient ring containing Q.
The Steinberg group of a monoid ring, nilpotence, and algorithms
Joseph Gubeladze
For a regular ring R and an affine monoid M the homotheties of M act nilpotently on the Milnor unstable groups of R[M]. This strengthens the K_2 part of the main result of [G5] in…
Polytopes and K-theory
Winfried Bruns, Joseph Gubeladze
This is an overview of results from our experiment of merging two seemingly unrelated disciplines - higher algebraic K-theory of rings and the theory of lattice polytopes. The usua…