3 papers
math.CO2026
Decomposable shuffles
João Dias, Bruno Dinis, Carlos Correia Ramos
We develop a combinatorial and order-theoretic framework for shuffles, understood as ordered concatenations of indexed families of sequences that induce total orders on the natural…
math.AC2024
Bridging Meadows and Sheaves
João Dias, Bruno Dinis, Pedro Macias Marques
We bridge sheaves of rings over a topological space with common meadows (algebraic structures where the inverse for multiplication is a total operation). More specifically, we show…
math.RA2024
Artinian Meadows
João Dias, Bruno Dinis
We introduce the notion of Artinian meadow as an algebraic structure constructed from an Artinian ring which is also a common meadow, i.e.\ a commutative and associative structure…