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

页码：355 / 366

页数：12

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