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F\'elix and Thomas extended the loop products and coproducts tosimply-connected Gorenstein spaces. We explicitly describe these operationswith rational coefficients in terms of Sullivan models. Moreover, by thisdescription, we prove some results on triviality of these operations. Theyinclude a variant of the result of Tamanoi, and generalizations of that ofF\'elix and Thomas and that of Naito.

Description and triviality of the loop products and coproducts for rational Gorenstein spaces