Abstract
We show that for each nge 2in {mathbb {N}}, the varieties {mathbb {V}}_{n}=[x_1x_2x_3=x_1^nx_{i_1}x_{i_2}x_{i_3}] where i is any non-trivial permutation of {1,2,3} are closed. Further, we show that for each nin {mathbb {N}}, the varieties {mathcal {V}}_{n}=[x_1x_2x_3=x_1^nx_{i_1}x_{i_2}x_{i_3}] where i is any non-trivial permutation of {1,2,3} other than the permutation (231) are closed.
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