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.
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页码：3861 / 3871
页数：11
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