About: In particular we show that if \big\{ \big(B^0_{\lambda_i}(S_i),\tau^0_{B(S_i)}\big) \colon i\in\mathcal{I}\big\} is a family of Hausdorff pseudocompact to\-pological Brandt \lambda_i^0-extensions of pseudocompact semitopological monoids with zero such that the Tychonoff product \prod\left\{ S_i \colon i\in\mathcal{I}\right\} is a pseudocompact space then the direct product \prod\big\{ \big(B^0_{\lambda_i}(S_i),\tau^0_{B(S_i)}\big) \colon i\in\mathcal{I}\big\} endowed with the Tychonoff topology is a Hausdorff pseudocompact semitopological semigroup..     Permalink

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