In this paper we develop a theory of t-cycle D - Z representations for s-dimensional lattice rules of prime-power order. Of particular interest are canonical forms which, by definition, have a ...

Let R be a 2-torsionfree ring with identity and S be a subring of the ring Mn (R) that contains the ring Tn(R) of all upper triangular matrices over R; that is, Tn(R) ⊆ S ⊆ Mn(R). The goal of this ...