ABSTRACT
Let Λ be a non semisimple symmetric artin algebra over a commutative artinian ring R and let repdim(Λ) be its representation dimension. Assume also that 𝒬 is a finite quiver whose connected components are amalgamations of single cycles possibly with multiple arrows, and that ℐ is an admissible ideal in the generalized path algebra Λ𝒬. We prove that repdim(Λ)+1.
Acknowledgments
The author would like to thank the anonymous referee for his/her useful comments on the paper that improved the exposition.