7 citations · 19 across the 11 of their papers we have counts for
11 papers
The "fundamental theorem" for the algebraic -theory of strongly -graded rings
Thomas Huettemann
The "fundamental theorem" for algebraic -theory expresses the -groups of a Laurent polynomial ring as a direct sum of two copies of the -groups of (with…
An elementary description of without elementary matrices
Thomas Huettemann, Zuhong Zhang
Let be a ring with unit. Passing to the colimit with respect to the standard inclusions (which add a unit vector as new last row and column) yields, by…
Non-commutative localisation and finite domination over strongly Z-graded rings
Thomas Huettemann
Let R be a strongly Z-graded ring with degree-0 subring S, and let C be a chain complex of modules over the subring P of elements of non-negative degree. We show that there are non…
Jump loci for the rank of matrices and Betti numbers of chain complexes over Laurent polynomial rings
Thomas Huettemann, Zuhong Zhang
Let be a non-empty set of ideals of the commutative ring , closed under taking smaller ideals. A subset of the group ring is called a -set if the id…
Annihilators in -graded and -graded rings
Thomas Huettemann
It has been shown by McCoy that a right ideal of a polynomial ring with several indeterminates has a non-trivial homogeneous right annihilator of degree 0 provided its right annihi…
Double complexes and vanishing of Novikov cohomology
Thomas Huettemann
We consider a non-standard totalisation functor to produce a cochain complex from a given double complex: instead of sums or products, totalisation is defined via truncated product…
Twisted diagrams and homotopy sheaves
Thomas Huettemann, Oliver Roendigs
Twisted diagrams are "diagrams" with components in different categories. Structure maps are defined using auxiliary data which consists of functors relating the various categories…
A cohomological interpretation of Brion's formula
Thomas Huettemann
A subset K of R^n gives rise to a formal Laurent series with monomials corresponding to lattice points in K. Under suitable hypotheses, this series represents a rational function R…
On a theorem of Brion
Thomas Huettemann
We give an elementary geometric re-proof of a formula discovered by Michel Brion as well as two variants thereof. A subset of R^n gives rise to a formal Laurent series with monomia…
The Linearisation Map in Algebraic K-Theory
Thomas Huettemann
Let X be a pointed connected simplicial set with loop group G. The linearisation map in K-theory as defined by Waldhausen uses G-equivariant spaces. This paper gives an alternative…
Total Cofibres of Diagrams of Spectra
Thomas Huettemann
If Y is a diagram of spectra indexed by an arbitrary poset C together with a specified sub-poset D, we define the total cofibre Γ(Y) of Y as the strict cofibre of the map from hoco…