The Number Of right ideals of given codimension over a finite feild

被引：2

作者：

Bacher, Roland ^{[1
]}

Reutenauer, Christophe ^{[2
]}

机构：

[1] Univ Grenoble 1, Inst Fournier, CNRS, UMR 5582, 100 Rue Maths, F-38402 St Martin Dheres, France

[2] Univ Quebec, Dept Math, Montreal, PQ H3C 3P8, Canada

来源：

NONCOMMUTATIVE BIRATIONAL GEOMETRY, REPRESENTATIONS AND COMBINATORICS | 2013年 / 592卷

关键词：

D O I：

10.1090/conm/592/11865

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The number of right ideals of codimension n of the ring of non-commutative polynomials in two variables over the finite field F-q is a polynomial q-analogue of the n-th Catalan number. A generalization involving a q-analogue of Fuss-Catalan numbers holds for more variables. We discuss also a few aspects of right congruences over a free monoid.

引用

页码：1 / +

页数：3

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