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math.AC 1

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2026 1

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Finite Generation in Polynomial Semirings

math.AC · 2026-04-13 · unverdicted · novelty 5.0

Finite generation of the additive monoid N_0[alpha] is fully characterized for minimal polynomials of the form p(X) - c and implies that alpha must be a weak Perron number, with applications to cubic cases and rank-3 monoids.

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  • Finite Generation in Polynomial Semirings math.AC · 2026-04-13 · unverdicted · none · ref 7

    Finite generation of the additive monoid N_0[alpha] is fully characterized for minimal polynomials of the form p(X) - c and implies that alpha must be a weak Perron number, with applications to cubic cases and rank-3 monoids.