Semigroup identities in the monoid of triangular tropical matrices

被引：17
|
作者：
Izhakian, Zur [1 ]
机构：
[1] Univ Bremen, Dept Math, D-28359 Bremen, Germany
来源：
SEMIGROUP FORUM | 2014年 / 88卷 / 01期
关键词：
Tropical (max-plus) matrix algebra; Idempotent semirings; Semigroup identities; Semigroup varieties; Monoid representations;
D O I：
10.1007/s00233-013-9507-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the submonoid of all nxn triangular tropical matrices satisfies a nontrivial semigroup identity and provide a generic construction for classes of such identities. The utilization of the Fibonacci number formula gives us an upper bound on the length of these 2-variable semigroup identities.
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页码：145 / 161
页数：17
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