ON SMALL RIGHT PURE SEMISIMPLE RINGS AND THE STRUCTURE OF THEIR AUSLANDER-REITEN QUIVER

Abstract

Let R be an associative ring with an identity element. One of the main aims of this paper is to show how potential counter-examples R to the pure semisimplicity conjecture of length ℓ(R_R ) two or three can look like, and the shape of their Auslander-Reiten quiver is described.

^*Partially supported by Polish KBN Grant 2 P0 3A 012 16

Acknowledgments

Notes

^*Partially supported by Polish KBN Grant 2 P0 3A 012 16