3 problems

Let $(G,\beta)$ be an edge-labeled graph over a GCD domain $R$, and let $F_1,F_2,\ldots,F_n\in\hat{R}_G$ be splines. The determinant of these splines is denoted by…

Let $R$ be the GCD domain underlying the generalized spline module, let $(G,\alpha)$ be an edge-labeled graph with $n$ vertices, and let $Q_G$ be the graph-dependent element define…

Let $(D_{3,3},\alpha)$ be the edge-labeled diamond graph with edge labels $l_1,\ldots,l_5$, and let $\mathbb{Z}_{(D_{3,3},\alpha)}$ denote its integer generalized spline module. De…