Tropical Geometric Approach To Signed Full Transformation Semigroups
DOI:
https://doi.org/10.60787/tnamp.v21.512Keywords:
Semigroup, Signed Full transformation, Tropical polynomial, Tropical curve Multiplicity and HeightAbstract
Let be a finite set and be the signed full transformations semigroup. This work surveys the connection between tropical geometry and semigroup theory. Tropical geometry were applied by degenerating elements from classical into tropical algebra. Through this approach, we analyze the structure of these transformations and determine the heights of their multiplicities through tropical curves. This study provides new perceptions into the algebraic properties of ST.
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