The endomorphism monoid of a free trioid of rank 1

被引：9
|
作者：
Zhuchok, Yurii V. [1 ]
机构：
[1] Taras Shevchenko Natl Univ Kyiv, Dept Mech & Math, Volodymyrska 60, UA-01601 Kiev, Ukraine
来源：
ALGEBRA UNIVERSALIS | 2016年 / 76卷 / 03期
关键词：
free trioid; endomorphism monoid; isomorphism; TRIALGEBRAS;
D O I：
10.1007/s00012-016-0392-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe all endomorphisms of a free trioid of rank 1 and construct a semigroup which is isomorphic to the endomorphism monoid of such free trioid. Also, we give an abstract characteristic for the endomorphism monoid of a free trioid of rank 1 and prove that free trioids are determined by their endomorphism monoids.
引用
收藏
页码：355 / 366
页数：12
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