On the Burnside ring and stable cohomotopy of a finite group.
On the Classification of Hermitian Forms. III. Complete Semilocal Rings.
On the Classification of Hermitian Forms. IV. Adele Rings.
On the Classification of Hermitian Forms. V. Global Rings.
On the classification of Moore algebras and their deformations.
On the Connes operator in Hochschild homology.
On the construction and the realization of wild monoids
We develop elementary methods of computing the monoid for a directly-finite regular ring . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.
On the de Rham–Witt complex in mixed characteristic
On the decomposition map of Grothendieck groups.
On the deformation theory of finite dimensional algebras.
On the derived category of a finite-dimensional algebra.
On the double Poincaré series of the enveloping algebras of certain graded Lie algebras.
On the endomorphism ring of a semi-injective module.
On the Finistic dimension conjecture for Artinian Rings.
On the Galois structure of algebraic integers and S-units.
On the genus of the graph of tilting modules.
On the Global Dimension of Some Rings.
On the -theory and Hattori-Stallings traces of minimal primitive factors of enveloping algebras of semisimple Lie algebras : the singular case
Let be a semisimple complex algebraic group and its flag variety. Let and let be its enveloping algebra. Let be a Cartan subalgebra of . For , let be the corresponding minimal primitive ideal, let , and let be the Hattori-Stallings trace. Results of Hodges suggest to study this map as a step towards a classification, up to isomorphism or Morita equivalence, of the -algebras . When is regular, Hodges has shown that . In this case is generated by the classes corresponding to...
On the K-theory of tubular algebras
Let Λ be a tubular algebra over an arbitrary base field. We study the Grothendieck group , endowed with the Euler form, and its automorphism group on a purely K-theoretical level as in [7]. Our results serve as tools for classifying the separating tubular families of tubular algebras as in the example [5] and for determining the automorphism group of the derived category of Λ.
On the lattice of cotilting modules.