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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…
math.RA2024
Strolling through common meadows
João Dias, Bruno Dinis
Meadows are a sort of commutative rings with a multiplicative identity element and a total multiplicative inverse operation. In this paper we study algebraic properties of common m…