FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1998, VOLUME 4, NUMBER 2, PAGES 763-767
I. B. Kozhukhov
Abstract
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It is proved that, for every semigroup $S$ of $n$ elements, the
cardinalities of the subdirectly irreducible $S$ -acts are less or equal
to $2^{n+1}$ . If the cardinalities of the subdirectly irreducible
$S$ -acts are bounded by a natural number then $S$ is a periodic semigroup.
It is obtained a combinatorial proof of the fact that there exist only
finitely many of unitary subdirect irreducible modules over a finite ring.
All articles are published in Russian.
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Last modified: June 17, 1998