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math.RA2019★ 4 cited
Magnitudes Reborn: Quantity Spaces as Scalable Monoids
Dan Jonsson
This article includes a survey of the historical development and theoretical structure of the pre-modern theory of magnitudes and numbers. In Part 1, work, insights and controversi…
math.GR2019
On Group-Like Magmoids
Dan Jonsson
A magmoid is a non-empty set with a partial binary operation; group-like magmoids generalize group-like magmas such as semigroups, monoids and groups. In this article, we first con…