A Description of Totally Reflexive Modules for a Class of non-Gorenstein Rings

Denise A. Rangel Tracy

We consider local non-Gorenstein rings of the form $(S_i,{\mathfrak{n}}_i)=k[X,Y_1,\dots ,Y_i]/\left(X^2,(Y_1,\dots ,Y_i{)}^2\right),$ where $i\ge 2.$ We show that every totall…