FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 3, PAGES 889-902
A. V. Tishchenko
Abstract
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We have found the necessary and sufficient conditions on
semigroups under which their extended standard wreath product
generates a variety of finite index. Further, the similar
problem is solved for varieties of completely simple semigroups.
Finally, the necessary and sufficient conditions on
monoid $S$ are found under which the endomorphism monoid of a free left
act over $S$ generates a variety of finite index.
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Last modified: December 8, 2000