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.

引用

页码：507 / 518

页数：12

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