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In this paper,we explore the refined semilattice of left C-wrpp semigroups,and show that a left C-wrpp semigroup S is a refined semilattice of left-R canceUative stripes if and only if it is a spined product of a C-wrpp component and a left regular band.It is a generalization of the refined semilattice decomposition of left C-rpp semigroups.