We consider an $n$-dimensional locally product space with $p$ and $q$ dimensional components $(p+q=n)$ with parallel structure tensor, what means that such a space is locally decomposable. If we introduce a conformal transformation on such a space, it will have an invariant curvature-type tensor, the so-called product conformal curvature tensor ($PC$-tensor). Here we consider two connections, $(F,g)$-holomorphically semisymmetric one and $F$-holomorphically semisymmetric one, both with gradient generators. They both have curvature-like invariants and they are both equal to $PC$-tensor.