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In this paper, we compute the projective class rings of the tensor product$\mathcal{H}_n(q)=A_n(q)\otimes A_n(q^{-1})$ of Taft algebras $A_n(q)$ and$A_n(q^{-1})$, and its cocycle deformations $H_n(0,q)$ and $H_n(1,q)$, where$n>2$ is a positive integer and $q$ is a primitive $n$-th root of unity. It isshown that the projective class rings $r_p(\mathcal{H}_n(q))$, $r_p(H_n(0,q))$and $r_p(H_n(1,q))$ are commutative rings generated by three elements, threeelements and two elements subject to some relations, respectively. It turns outthat even $\mathcal{H}_n(q)$, $H_n(0,q)$ and $H_n(1,q)$ are cocycletwist-equivalent to each other, they are of different representation types:wild, wild and tame, respectively.

The Projective Class Rings of a family of pointed Hopf algebras of Rank two