Automorphisms of the endomorphism semigroup of a free commutative dimonoid

被引：6

作者：

Zhuchok, Yurii V. ^{[1
]}

机构：

[1] Kyiv Natl Taras Shevchenko Univ, Fac Mech & Math, 64 Volodymyrska St, UA-01601 Kiev, Ukraine

来源：

COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 09期

关键词：

Automorphism group; dimonoid; endomorphism semigroup; free commutative dimonoid; ALGEBRAS; CATEGORIES;

D O I：

10.1080/00927872.2016.1248241

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We determine all isomorphisms between the endomorphism semigroups of free commutative dimonoids and prove that all automorphisms of the endomorphism semigroup of a free commutative dimonoid are quasi-inner. In particular, we answer a question of B. I. Plotkin.

引用

页码：3861 / 3871

页数：11

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