On a conjecture of V.V. Shchigolev

V.V. Shchigolev has proven that over any infinite field k of characteristic p>2, the T-space generated by is finitely based, which answered a question raised by A.V. Grishin. Shchigolev went on to conjecture that every infinite subset of G generates a finitely based T-space. In this paper, we prove that Shchigolev's conjecture was correct by showing that for any field of characteristic p>2, the T-space generated by any subset , i1