Is the representation dimension of the trivial extension algebra of k[x,y]/(x^2,y^2,xy+qyx) equal to 4?

It is well known that the reprensentation dimension of k[x,y]/(x^2,y^2,xy+qyx)  is 3, where q is a nonzero element in k. And how to compute the representation dimension of its trivial extension...

01 January 2016 7,754 1 View