S.C. Code Ann. § 27-41-10: Recovery of rent from undertenant on death of life tenant.

When any tenant for life shall happen to die before or on the day on which any rent was reserved or made payable upon any demise or lease of any lands, tenements or hereditaments to an undertenant which determined on the death of such tenant for life, the executors or administrators of such tenant for life shall and may recover of and from such undertenant of such lands, tenements or hereditaments the rent thereof as prescribed in SECTION 27-41-20.