Prime congruences containing a bend congruence on toric semirings are strongly characterized, yielding a Nullstellensatz analogue, cancellativity of certain quotients, identification with tropical function semirings, and polyhedron closure descriptions.
Rabinoff,Tropical analytic geometry, Newton polygons, and tropical intersectionsAdvances in Mathematics vol
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Geometric classification of primes modulo a (bend) congruence
Prime congruences containing a bend congruence on toric semirings are strongly characterized, yielding a Nullstellensatz analogue, cancellativity of certain quotients, identification with tropical function semirings, and polyhedron closure descriptions.