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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 7, Pages 151–156
(Mi fpm1180)
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This article is cited in 2 scientific papers (total in 2 papers)
Acts over semilattices
M. Yu. Maksimovskiy Moscow State Institute of Electronic Technology
Abstract:
In this paper, we consider acts over commutative semigroups of idempotents (semilattices). We prove that an act over a semilattice is a partially ordered set. We obtain a full description of acts over a finite chain and a necessary condition for a partially ordered set to be an act over some semilattice.
Citation:
M. Yu. Maksimovskiy, “Acts over semilattices”, Fundam. Prikl. Mat., 14:7 (2008), 151–156; J. Math. Sci., 164:2 (2010), 255–259
Linking options:
https://www.mathnet.ru/eng/fpm1180 https://www.mathnet.ru/eng/fpm/v14/i7/p151
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Abstract page: | 308 | Full-text PDF : | 153 | References: | 54 |
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