3 papers
math.GR2026
On algebraic and arithmetic properties of monoids of product- sequences
Jun Seok Oh, Doniyor Yazdonov
Let be a group and be a normal subgroup of . A sequence over is a finite collection of terms from , where repetition is allowed, and the order is disregarded. A p…
math.AC2026
Topological insights into Monoids and Module systems
Carmelo Antonio Finocchiaro, Doniyor Yazdonov
In this work, we generalize several topological results and concepts from ring theory to the setting of monoids.
math.AC2026
On the structure of length sets with maximal elasticity
Doniyor Yazdonov
Let be a Krull monoid with finite class group and suppose that each class contains a prime divisor. Then every non-unit has a factorization into atoms, say $a=u_1…