5 citations · 24 across the 12 of their papers we have counts for
12 papers
The algebraic -theory of the projective line associated with a strongly -graded ring
Thomas Huettemann, Tasha Montgomery
A Laurent polynomial ring with coefficients in a unital ring determines a category of quasi-coherent sheaves on the projective line over ; its -theory is known…
A "quite superfluous" characterisation of the Jacobson radical of an associative ring
Thomas Huettemann
It is well-known that the Jacobson radical of a unital ring is its largest superfluous right ideal. It is recorded here that the result carries over to non-unital rings provided th…
Triangular objects and systematic K-theory
Thomas Huettemann, Zuhong Zhang
We investigate modules over "systematic" rings. Such rings are "almost graded" and have appeared under various names in the literature; they are special cases of the G-systems of G…
Finite domination and Novikov rings. Laurent polynomial rings in several variables
Thomas Huettemann, David Quinn
We present a homological characterisation of those chain complexes of modules over a Laurent polynomial ring in several indeterminates which are finitely dominated over the ground…
Vector bundles on the projective line and finite domination of chain complexes
Thomas Huettemann
Finitely dominated chain complexes over a Laurent polynomial ring in one indeterminate are characterised by vanishing of their Novikov homology. We present an algebro-geometric app…
Finite domination and Novikov rings. Laurent polynomial rings in two variables
Thomas Huettemann, David Quinn
Let C be a bounded cochain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x,y,1/y]. The complex C is called R-finitely dominated if it is hom…
Finite domination and Novikov rings. Iterative approach
Thomas Huettemann, David Quinn
Suppose C is a bounded chain complex of finitely generated free modules over the Laurent polynomial ring L = R[x,1/x]. Then C is R-finitely dominated, ie, homotopy equivalent over…
On Quillen's calculation of graded -theory
R. Hazrat, T. Huettemann
We adapt Quillen's calculation of graded K-groups of Z-graded rings with support in N to graded K-theory, allowing gradings in a product Z \times G with G an arbitrary group. This…
A note on the graded K-theory of certain graded rings
Thomas Huettemann
Following ideas of Quillen it is shown that the graded K-theory of a Z^n-graded ring with support contained in a pointed cone is entirely determined by the K-theory of the subring…
A splitting result for the algebraic K-theory of projective toric schemes
Thomas Huettemann
Suppose X is a projective toric scheme defined over a commutative ring R equipped with an ample line bundle L. We prove that its K-theory has k+1 direct summands K(R) where k is mi…
On the derived category of a regular toric scheme
Thomas Huettemann
Let X be a quasi-compact scheme, equipped with an open covering by affine schemes. A quasi-coherent sheaf on X gives rise, by taking sections over the covering sets, to a diagram o…
K-Theory of non-linear projective toric varieties
Thomas Huettemann
By analogy with algebraic geometry, we define a category of non-linear sheaves (quasi-coherent homotopy-sheaves of topological spaces) on projective toric varieties and prove a spl…