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

共 50 条

[31] ENDOMORPHISM-MONOIDS OF BANDS
DEMLOVA, M
KOUBEK, V
SEMIGROUP FORUM, 1989, 38 (03) : 305 - 329
[32] Endomorphism regular Ockham algebras of finite Boolean type
Blyth, TS
Silva, HJ
GLASGOW MATHEMATICAL JOURNAL, 1997, 39 : 99 - 110
[33] Endomorphism Algebras
Bouc, Serge
BISET FUNCTORS FOR FINITE GROUPS, 2010, 1990 : 97 - 119
[34] Unicyclic graphs with regular endomorphism monoids
Ma, Xiaobin
Wong, Dein
Zhou, Jinming
DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2016, 8 (02)
[35] Endomorphism monoids in varieties of commutative semigroups
Demlova, M.
Koubek, V.
Sichler, J.
SEMIGROUP FORUM, 2013, 87 (02) : 351 - 376
[36] Endomorphism monoids of generalized split graphs
Lu, Dancheng
Wu, Tongsuo
ARS COMBINATORIA, 2013, 111 : 357 - 373
[37] On the endomorphism monoids of (uniquely) complemented lattices
Grätzer, G
Sichler, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (05) : 2429 - 2444
[38] Dense Relations Are Determined by Their Endomorphism Monoids
João Araújo
Janusz Konieczny
Semigroup Forum, 2005, 70 : 302 - 306
[39] Endomorphism monoids in varieties of commutative semigroups
M. Demlová
V. Koubek
J. Sichler
Semigroup Forum, 2013, 87 : 351 - 376
[40] Kleene algebras with implication
José Luis Castiglioni
Sergio Arturo Celani
Hernán Javier San Martín
Algebra universalis, 2017, 77 : 375 - 393

← 1 2 3 4 5 →