Pseudocompactness

In the paper we study the preservation of pseudocompactness (resp., countable compactness, sequential compactness, #92;omega-boundedness, totally countable compactness, countable pracompactness, sequential pseudocompactness) by Tychonoff products of pseudocompact (and countably compact) to\-pological Brandt #92;lambda#95;i⁰-extensions of semitopological monoids with zero.