On Endomorphism Monoids of Finite Kleene Algebras

被引：0
|
作者：
Fang, Jie [1 ]
Sun, Zhongju [1 ]
机构：
[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Guangdong, Peoples R China
来源：
ALGEBRA COLLOQUIUM | 2019年 / 26卷 / 03期
关键词：
endomorphism; monoid; band; Kleene algebra; OCKHAM ALGEBRAS;
D O I：
10.1142/S1005386719000373
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An endomorphism monoid of an algebra A is said to be a band if every endomorphism on A is an idempotent, and it is said to be a demi-band if every non-injective endomorphism on A is an idempotent. We precisely determine finite Kleene algebras whose endomorphism monoids are demi-bands and bands via Priestley duality.
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页码：507 / 518
页数：12
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