Homogeneous Sagbi Bases Under Polynomial Composition

Authors

  • Nazish Kanwal Department of Mathematical Sciences, Institute of Business Administration, Karachi

DOI:

https://doi.org/10.26713/cma.v10i3.1219

Keywords:

Homogeneoous Sagbi basis, Polynomial composition

Abstract

The process of replacing indeterminates in a Polynomial with other polynomials is the polynomial composition. Homogeneous Sagbi bases are the Sagbi bases generated by the subset of homogeneous polynomials. In this article we present adequate and essential criterion on a set of polynomials to guarantee that the composed set \(S\circ \ominus\) is Homogeneous Sagbi basis whenever \(S\) is a Homogeneous Sagbi basis.

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References

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Published

30-09-2019
CITATION

How to Cite

Kanwal, N. (2019). Homogeneous Sagbi Bases Under Polynomial Composition. Communications in Mathematics and Applications, 10(3), 607–616. https://doi.org/10.26713/cma.v10i3.1219

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Research Article