| Sagbi-Gr?bner Bases Under Composition |
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| 作者姓名： | KANWAL Nazish KHAN Junaid Alam |
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| 作者单位： | 1. Department of Sciences & Humanities, FAST-National University of Computer & Emerging Sciences |
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| 摘 要： | The process of substituting variables in a polynomial with other polynomials is dubbed polynomial composition. The behaviour of Gr?bner bases and Sagbi bases under composition is well known. In this paper, the authors provide a sufficient and necessary condition on a set Θ of polynomials under which the Sagbi-Gr?bner basis computation commutes with composition. This has natural applications to the computations of Sagbi-Gr?bner bases for subsets of composed polynomials of subalgebra.
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