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math.AC2026
Common extensions of valuations to rational function fields
Arpan Dutta, Wael Mahboub
Let (K(X)|K,w) be a valuation transcendental extension of rational function fields and take a minimal pair of definition (a, gamma). In this paper, we characterize those K-conjugat…
math.AC2026
Finite Generation in Polynomial Semirings
Mohammad El Asal, Wael Mahboub
We study the semiring as an additive monoid where is a positive real algebraic number. In the atomic case, the atoms of are precisely the po…