SAGBI Bases in G-Algebras

被引:0
|
作者
Khan, Muhammad Abdul Basit [1 ]
Khan, Junaid Alam [1 ]
Binyamin, Muhammad Ahsan [2 ]
机构
[1] Inst Business Adm, Dept Math Sci, Karachi 75270, Pakistan
[2] GC Univ, Dept Math, Faisalabad 38000, Pakistan
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 02期
关键词
G-algebra; SAGBI normal form; SAGBI basis;
D O I
10.3390/sym11020221
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
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.
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页数:10
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