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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…
math.RA2024
Towards an Enumeration of Finite Common Meadows
João Dias, Bruno Dinis
Common meadows are commutative and associative algebraic structures with two operations (addition and multiplication) with additive and multiplicative identities and for which inve…