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Fundamentalnaya i Prikladnaya Matematika, 1997, Volume 3, Issue 3, Pages 869–878
(Mi fpm248)
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This article is cited in 1 scientific paper (total in 1 paper)
Semigroups with right congruences of finite index
I. B. Kozhukhov Moscow State Institute of Electronic Technology (Technical University)
Abstract:
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.
Received: 01.07.1996
Citation:
I. B. Kozhukhov, “Semigroups with right congruences of finite index”, Fundam. Prikl. Mat., 3:3 (1997), 869–878
Linking options:
https://www.mathnet.ru/eng/fpm248 https://www.mathnet.ru/eng/fpm/v3/i3/p869
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Abstract page: | 286 | Full-text PDF : | 155 | First page: | 2 |
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