I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 1, PAGES 283-305
A. V. Tishchenko
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The decomposition of the ordered monoid of semigroup
varieties under wreath product into a five-element semilattice of
its subsemigroups is obtained.
One of these subsemigroups is the one-element and consists of
the only variety of all trivial semigroups.
The second one is an ideal with the zero multiplication
consisting of all overcommutative varieties.
The third one is the free semigroup of continuum rank
consisting of all non-trivial periodic group varieties.
The fourth one is the countable semilattice of finite
It is proved that
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Last modified: April 27, 1999