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.
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页码：1 / +
页数：3
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