We give a short proof for the Clebsch Gordan decompositions for the finite-dimensional modules over k[X]. 1. The representation ring of k[X]: the primitive case Let k be an algebraically closed fieldâ€¦ (More)

We give a short and simple argument that proves, in a uniform way, the Auslander-Buchsbaum formula, relating depth and projective dimension, and the Auslander-Bridger formula, relating depth andâ€¦ (More)

A contravariant functor is constructed from the stable projective homotopy theory of finitely generated graded modules over a finite-dimensional algebra to the derived category of its Yoneda algebraâ€¦ (More)

We show that direct summands of certain additive functors arising as bifunctors with a fixed argument in an abelian category are again of that form whenever the fixed argument has finite length or,â€¦ (More)

Vladimir V. Bavula, Gelfand-Kirillov Krull, +5 authorsTheorists A Schofield

1998

Innnite dimensional modules for nite groups. P. Eklof, Modules with strange decomposition properties. A. Facchini, Failure of the Krull-Schmidt property for artinian modules and for serial modules.â€¦ (More)

We initiate the study of 1-torsion of finite modules over two-sided noetherian semiperfect rings. In particular, we give a criterion for determining when the 1-torsion submodule contains minimalâ€¦ (More)