The purpose of these notes is to explain in detail some topics on the intersection of
commutative algebra, representation theory and singularity theory. They are based on …

This book covers a topic of great interest in abstract algebra. It gives an account of invariant
theory for the action of a finite group on the ring of polynomial functions on a linear …

Written by an algebraic topologist motivated by his own desire to learn, this well-written book
represents the compilation of the most essential and interesting results and methods in the …

Let A be a finite-dimensional k-algebra (associative, with unit) over some fixed algebraically
closed field k. Let mod A be the category of finitely generated left A-modules. With D= Hom k …

1. Introduction. 2. Proper classes of triangles and phantom maps. 3. The Steenrod and Freyd
category of a triangulated category. 4. Projectie objects, resolutions, and deried functors. 5 …

This paper gives a classification of the tame [italic] R-orders of finite representation type in
terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce …

Extriangulated categories were introduced by Nakaoka and Palu to give a unification of
properties in exact categories and triangulated categories. We consider in this article the …

To any additive category, we associate in a functorial way two additive categories A (), B ().
The category A (), resp. B (), is the reflection of in the category of additive categories with …

We give a classification of all exact structures on a given idempotent complete additive
category. Using this, we investigate the structure of an exact category with finitely many …

K-2mu-theory and the singularity category of quotient singularities Page 1 ANNALS OF K-THEORY
A JOURNAL OF THE K-THEORY FOUNDATION msp vol. 6 no. 3 2021 K-theory and the …