Module Basis for Generalized Spline Modules

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Authors

  • Radha Madhavi Duggaraju
     Department of Mathematics, Navrachana University, Vadodara - 391410 ,IN
  • Lipika Mazumdar
     Department of Mathematics, Navrachana University, Vadodara - 391410 ,IN

DOI:

https://doi.org/10.18311/jims/2022/29295

Keywords:

Generalized spline modules, Dutch Windmill graph, isomorphic graphs

Abstract

Let G = (V,E) be a graph of order n. Let R be a commutative ring and I denote the set of all ideals of R. Let ? : E ? I be an edge labeling. A generalized spline of (G, ?) is a vertex labeling F : V ? R such that for each edge uv, F(u) ? F(v) ? ?(uv). The set R(G,) of all generalized splines of (G, ?) is an R-module. In this paper we determine conditions for a subset of R(G,?) to form a basis of R(G,?) for some classes of graphs.

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Published

2022-01-27

How to Cite

Madhavi Duggaraju, R., & Mazumdar, L. (2022). Module Basis for Generalized Spline Modules. The Journal of the Indian Mathematical Society, 89(1-2), 32–43. https://doi.org/10.18311/jims/2022/29295

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 Radha Madhavi Duggaraju, Lipika Mazumdar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-01-10
Accepted 2023-01-30
Published 2022-01-27

 

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