No abstract

Let Λ be a graded self-injective algebra. We describe its smash product Λ#kZ * with the group Z, its Beilinson algebra and their relationship. Starting with Λ, we construct algebras with finite global dimension, called τslice algebras, we show that their trivial extensions are all isomorphic, and their repetitive algebras are the same Λ#kZ * . There exist τ -mutations similar to the BGP reflections for the τ -slice algebras. We also recover Iyama's absolute n-complete algebra as truncation of the Koszul dual of certain self-injective algebra.

No abstract

No abstract

No abstract