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Microwave-assisted [2+2] cycloadditions of (E)-3-dimethylamino-1-substituted prop-2-en-1-ones, prepared from carbocyclic, aromatic and heteroaromatic methyl ketones, ethyl acetate, diethyl malonate, ethyl methoxyacetate, methyl phenoxyacetate and dietyl acetylenedicarboxylate give substituted dimethyl 2-[(dimethylamino)methylene]succinates.