subsemiring

noun

subsemiring

noun

Etymology From sub- + semiring.

1

Mathematics, Sciences A subset of a semiring that is also a semiring under the same operations as the original semiring.

  • The following dichotomy is shown: If a finite semiring is such that (i) the multiplicative semigroup is solvable and (ii) it does not contain a subsemiring with an additive identity 0 and a multiplicative identity 1#92;neq 0, then the circuit evaluation problem for the semiring is in #92;mathsf#123;DET#125;#92;subseteq#92;mathsf#123;NC#125;².2016, Moses Ganardi, Danny Hucke, Daniel König, Markus Lohrey, “Circuit Evaluation for Finite Semirings”, in arXiv:

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