RESULTS ON ORDER DECREASING FULL TRANSFORMATION SEMIGROUP VIA TROPICAL GEOMETRY
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Canadian University Dubai, UAE
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Abstract. Let DΥη be the subsemigroup of order decreasing full transforma tion on Ωη = {1, 2, · · · , η} . In this paper, the tropical geometry were applied
on DΥη for 1 ≤ η ≤ 4. The elements in DΥη of classical algebra were degen erated into tropical polynomial and some results were obtained through their tropical curve.
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Bakare G.N., Ibrahim G.R., Usamot I.F., and Oyebo Y.T, Results on Order-Decreasing Full Transformation Semigroup Via Tropical Geometry. Annals of Mathematics and Computer Science. 5:44-53