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On the structures of a monoid of triangular vector-permutation polynomials, its group of units and its induced group of permutations
被引：0
|作者：
Al-Maktry, Amr Ali Abdulkader
[1
]
机构：
[1] Graz Univ Technol, Dept Anal & Number Theory 5010, Kopernikusgasse 24-2, A-8010 Graz, Austria
基金：
奥地利科学基金会;
关键词：
Vector-polynomial;
Monoid;
Polynomial automorphism;
Polynomial permutation;
Unit-valued polynomial;
Iterated semi-direct product;
AUTOMORPHISMS;
RINGS;
TAME;
D O I：
10.1016/j.jpaa.2024.107789
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let n>1and let R be a commutative ring with identity 1=0 and R[x(1),...,x(n)]n these to fall n-tuples of polynomials of the form(f(1),...,f(n)),wheref(1),...,f(n )is an element of R[x(1),...,x(n)].Wecallthesen-tuplesvector-polynomials. We define composition on R[x(1,)...,x(n)]n by g degrees f=(g(1)(f(1),...,f(n)),...,g(n)(f(1),...,f(n))),wheref=(f(1),...,f(n)),g=(g(1),...,g(n)) In this paper, we investigate vector-polynomials o fthe form f=(f(0),f(1)+x(2g1),...,f(n-1)+x(n)g(n-1)),
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页数：26
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