Article ID Journal Published Year Pages File Type
4587068 Journal of Algebra 2009 14 Pages PDF
Abstract

Let Λ be a finite-dimensional algebra over an algebraically closed field k of finite global dimension. Let M be a finitely generated Λ-module and let Γ=Λ[M] be the one point extension algebra. We show how to compute the Coxeter polynomial for Γ from the Coxeter polynomial of Λ and homological invariants of M.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory