Doniyor Yazdonov

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math.AC2026

Topological insights into Monoids and Module systems

Carmelo Antonio Finocchiaro, Doniyor Yazdonov

Let $H$ be a monoid and let $G$ denote its quotient groupoid. We introduce the Riemann-Zariski space $Zar (G ∣ H)$ associated with $H$ and prove that it is a spectral space.…

math.AC2025

On the structure of length sets with maximal elasticity

Doniyor Yazdonov

Let $H$ be a Krull monoid with finite class group $G$ and suppose that each class contains a prime divisor. Then every non-unit $a \in H$ has a factorization into atoms, say $a=u_1…