It is known that a C-rpp semigroup can be described as a strongsemilattice of leftcancellative monoids. In this paper, we introduce the class of left C-wrpp semigroups which includes the class of left C-rpp semigroups as a subclass. We shall particularly show that the semi-spined product of a left regular band and a C-wrpp semigroup forms a curler which is a left C-wrpp semigroup and vice versa. Results obtained by Fountain and Tang on C-rpp semigroups are extended and strengthened.
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