I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1997, VOLUME 3, NUMBER 3, PAGES 869-878
I. B. Kozhukhov
View as HTML View as gif image View as LaTeX source
It is proved that all non-trivial right congruences of a semigroup
$S$have finite indices if and only if either $S$is finite or $S$is isomorphic to a subsemigroup of the additive group of integers with the adjoint zero. This result allows to describe the semigroup algebras whose non-trivial right ideals have the finite codimensions.
All articles are published in Russian.
|Main page||Contents of the journal||News||Search|
Last modified: January 20, 2000