Article ID Journal Published Year Pages File Type
4597005 Journal of Pure and Applied Algebra 2011 7 Pages PDF
Abstract

Let Λ be a finite dimensional k-algebra over an algebraically closed field k and let ΛT be a splitting tilting module of projective dimension at most 1. Let Γ=EndΛT. If the representation dimension of Λ is at most 3 then the main result asserts that the representation dimension of Γ does not exceed that of Λ.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory