References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

The central aim of this book is to understand modules and the categories they form through
associated structures and dimensions, which reflect the complexity of these, and similar …

抄録< jats: p> The second of a three-volume set providing a modern account of the
representation theory of finite dimensional associative algebras over an algebraically closed …

We find a simple condition which implies finiteness of finitistic global dimension for artin
algebras. As a consequence we obtain a short proof of the finitistic global dimension …

Radical embeddings and representation dimension Page 1 http://www.elsevier.com/locate/aim
Advances in Mathematics 185 (2004) 159–177 Radical embeddings and representation …

We consider the question of whether the injective modules generate the unbounded derived
category of a ring as a triangulated category with arbitrary coproducts. We give an example …

We use the class of representation-finite algebras to investigate the finitistic dimension
conjecture. In this way we obtain a large class of algebras for which the finitistic dimension …

Non-commutative crepant resolutions are algebraic objects defined by Van den Bergh to
realize an equivalence of derived categories in birational geometry. They are motivated by …

The notion of Igusa–Todorov algebras is introduced in connection with the (little) finitistic
dimension conjecture, and the conjecture is proved for those algebras. Such algebras …

In this paper we develop new reduction techniques for testing the finiteness of the finitistic
dimension of a finite dimensional algebra over a field. Viewing the latter algebra as a …