Invertible Matrices over Finite Additively Idempotent Semirings

被引：2
|
作者：
Kendziorra, Andreas [1 ]
Schmidt, Stefan E. [2 ]
Zumbraegel, Jens [1 ]
机构：
[1] Univ Coll Dublin, Claude Shannon Inst, Sch Math Sci, Dublin 4, Ireland
[2] Tech Univ Dresden, Inst Algebra, Fachrichtung Math, D-01062 Dresden, Germany
来源：
SEMIGROUP FORUM | 2013年 / 86卷 / 03期
基金：
爱尔兰科学基金会;
关键词：
Matrix inversion; Semirings; Lattices; CONGRUENCE-SIMPLE SEMIRINGS; ANTIRINGS;
D O I：
10.1007/s00233-012-9427-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate invertible matrices over finite additively idempotent semirings. The main result provides a criterion for the invertibility of such matrices. We also give a construction of the inverse matrix and a formula for the number of invertible matrices.
引用
收藏
页码：525 / 536
页数：12
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