Injective representations of bound quiver algebras

Abstract

Let R be a ring and be a finite quiver. We give an explicit formula for the injective envelopes and projective precovers in the category Rep(I,R) of bound representations of by left R-modules, where I is a combination of monomial and commutativity relations. Some applications will be provided. In particular, it is shown that if is acyclic and R is an Iwanaga-Gorenstein ring, then so are these bound quiver algebras. © 2018 World Scientific Publishing Company.