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Symmetry 2019, 11(2), 221; https://doi.org/10.3390/sym11020221

SAGBI Bases in G-Algebras

1
Department of Mathematical Sciences, Institute of Business Administration, Karachi-75270, Pakistan
2
Department of Mathematics, GC University, Faisalabad-38000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 10 January 2019 / Revised: 6 February 2019 / Accepted: 8 February 2019 / Published: 13 February 2019
(This article belongs to the Special Issue Mirror Symmetry and Algebraic Geometry)
PDF [268 KB, uploaded 13 February 2019]

Abstract

In this article, we develop the theory of SAGBI bases in G-algebras and create a criterion through which we can check if a set of polynomials in a G-algebra is a SAGBI basis or not. Moreover, we will construct an algorithm to compute SAGBI bases from a subset of polynomials contained in a subalgebra of a G-algebra.
Keywords: G-algebra; SAGBI normal form; SAGBI basis G-algebra; SAGBI normal form; SAGBI basis
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Khan, M.A.B.; Alam Khan, J.; Binyamin, M.A. SAGBI Bases in G-Algebras. Symmetry 2019, 11, 221.

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