Free monoids and forests of rational numbers

Nathanson Melvyn B.

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Free monoids and forests of rational numbers

机译：免费的ronoids和森林的理性数字

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摘要

The Calkin-Wilf tree is an infinite binary tree whose vertices are the positive rational numbers. Each such number occurs in the tree exactly once and in the form a/b, where a and b are relatively prime positive integers. This tree is associated with the matrices L-1 =

机译：Calkin-Wilf树是无限二叉树的，其顶点是正面的Rational数字。每个这样的数量在树中发生一次和在形式A / B中，其中A和B是相对素质的正整数。该树与矩阵L-1 =相关联

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来源
《Discrete Applied Mathematics》 |2017年第3期|共8页
作者
Nathanson Melvyn B.;
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作者单位

CUNY Lehman Coll Dept Math Bronx NY 10468 USA;

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原文格式 PDF
正文语种 eng
中图分类离散数学;
关键词
Calkin-Wilf tree; Linear fractional transformation; Forests of rooted infinite binary trees; Freely generated submonoids of GL(2)(N-0);

机译：Calkin-Wilf树;线性分数转变;生根无限二元树的森林;自由产生GL（2）（N-0）的蛋糕;

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1. Free monoids and forests of rational numbers [J] . Nathanson Melvyn B. Discrete Applied Mathematics . 2017,第Pta3期

机译：免费的ronoids和森林的理性数字
2. Rational codes and free profinite monoids [J] . Jorge Almeida and Journal of the London Mathematical Society . 2009,第2期

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3. Extension of Brzozowski's derivation calculus of rational expressions to series over the free partially commutative monoids [J] . Jean Berstel, Christophe Reutenauer Theoretical computer science . 2008,第1a3期

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4. The Trace Monoids in the Queue Monoid and in the Direct Product of Two Free Monoids [C] . Dietrich Kuske, Olena Prianychnykova International conference on developments in language theory . 2016

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5. Integral Closure of Monomial Ideals through Monoids and Rational Powers [D] . Lewis, James. 2021

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6. Choosing interventions to eliminate forest malaria: preliminary results of two operational research studies inside Cambodian forests [O] . Amber Kunkel, Chea Nguon, Sophea Iv, 2021

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7. FREE MONOIDS AND FORESTS OF RATIONAL NUMBERS [O] . Melvyn B. Nathanson 2016

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Free monoids and forests of rational numbers

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