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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Acts and partial acts over semilattices
T. V. Apraksina, M. Yu. Maksimovskiy Moscow Institute of Electronic Technology, Chair of Higher Mathematics 1
Abstract:
We consider the acts and the partial acts over semilattices. We obtain a necessary and sufficient condition to be a partially ordered set $X$ an act over a semilattice. The properties of partial acts are investigated and a sufficient condition is found for the expansion of partial act $X$ over a semilattice $S$ to a full $S$-act.
Key words:
act, partially act, semilattice.
Citation:
T. V. Apraksina, M. Yu. Maksimovskiy, “Acts and partial acts over semilattices”, Izv. Saratov Univ. Math. Mech. Inform., 12:1 (2012), 3–7
Linking options:
https://www.mathnet.ru/eng/isu273 https://www.mathnet.ru/eng/isu/v12/i1/p3
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