GREEN RELATIONS ON THE STRONG ENDOMORPHISM MONOID OF A GRAPH

被引:11
作者
LI, WM [1 ]
机构
[1] UNIV PORTO, DEPT MATH, FACHBEREICH 6, OPORTO, PORTUGAL
关键词
D O I
10.1007/BF02573757
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Combinatorial characteristics of Green's relations on the monoid of strong endomorphisms of graphs are explored. As an application, a short proof of the fact that s End(G) is regular is given.
引用
收藏
页码:209 / 214
页数:6
相关论文
共 50 条
[31]   The endomorphism monoid of a free trioid of rank 1 [J].
Yurii V. Zhuchok .
Algebra universalis, 2016, 76 :355-366
[32]   The largest subsemilattices of the endomorphism monoid of an independence algebra [J].
Araujo, Joao ;
Bentz, Wolfram ;
Konieczny, Janusz .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 458 :60-79
[33]   IDEMPOTENT RANK IN THE ENDOMORPHISM MONOID OF A NONUNIFORM PARTITION [J].
Dolinka, Igor ;
East, James ;
Mitchell, James D. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (01) :73-91
[34]   Idempotent Generation in the Endomorphism Monoid of a Uniform Partition [J].
Dolinka, Igor ;
East, James .
COMMUNICATIONS IN ALGEBRA, 2016, 44 (12) :5179-5198
[35]   The endomorphism monoid of (Pn)over-bar [J].
Hou, Hailong ;
Luo, Yanfeng ;
Cheng, Zhimi .
EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (05) :1173-1185
[36]   Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup [J].
Mashevitzky, G ;
Schein, BM .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (06) :1655-1660
[37]   A counterexample to the reconstruction of ω-categorical structures from their endomorphism monoid [J].
Manuel Bodirsky ;
David Evans ;
Michael Kompatscher ;
Michael Pinsker .
Israel Journal of Mathematics, 2018, 224 :57-82
[38]   A COUNTEREXAMPLE TO THE RECONSTRUCTION OF ω-CATEGORICAL STRUCTURES FROM THEIR ENDOMORPHISM MONOID [J].
Bodirsky, Manuel ;
Evans, David ;
Kompatscher, Michael ;
Pinsker, Michael .
ISRAEL JOURNAL OF MATHEMATICS, 2018, 224 (01) :57-82
[39]   Endomorphism α - monoid of quasi-injective gamma acts [J].
Abbas, Mehdi S. ;
Al-Saadi, Saad A. ;
Faris, Abdulqader .
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2022, 25 (02) :591-597
[40]   Comparability in the graph monoid [J].
Hazrat, Roozbeh ;
Vas, Lia .
NEW YORK JOURNAL OF MATHEMATICS, 2020, 26 :1375-1421