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In this paper we prove that $2$-generated primitive axial algebras of Monstertype $(2\beta, \beta)$ over a ring $R$ in which $2$ and $\beta$ are invertiblecan be generated as $R$-module by $8$ vectors. We then completely classify$2$-generated primitive axial algebras of Monster type $(2\beta, \beta)$ overany field of characteristic other than $2$.

2-generated axial algebras of Monster type $(2\beta, \beta)$