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.
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2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Prime ideals of the Boolean polynomial semiring B[x] fall into three classes indexed by integers, disproving a prior conjecture.
citing papers explorer
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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.
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Prime ideals in the Boolean polynomial semiring
Prime ideals of the Boolean polynomial semiring B[x] fall into three classes indexed by integers, disproving a prior conjecture.