Flow-Up Bases for Generalized Spline Modules on Arbitrary Graphs

  title={Flow-Up Bases for Generalized Spline Modules on Arbitrary Graphs},
  author={Selma Altınok and Samet Sarioglan},
  journal={arXiv: Commutative Algebra},
  • Selma Altınok, Samet Sarioglan
  • Published 2019
  • Mathematics
  • arXiv: Commutative Algebra
  • Let R be a commutative ring with identity. An edge labeled graph is a graph with edges labeled by the ideals of R. A generalized spline over an edge labeled graph is a vertex labeling by the elements of R, such that the labels of adjacent vertices agree modulo the label associated to the edge connecting them. The set of generalized splines has a ring and R-module structure. We show the existence of flow-up bases for generalized spline modules on any edge labeled graph over principal ideal… CONTINUE READING

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