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LEFT INVERSES AND RIGHT INVERSES OF A STRONG ENDOMORPHISM OF A GRAPH
作者姓名:李为民
作者单位:Department of Mathematics,Shanghai Jiao-Tong University,Shanghai 200240,China
摘    要:1IntroductionConsiderableattelltionhasbeendevotedtotilesemigroupoftheelldomorphislllsofagraph,inparticular,thesemigroupofthestrongendomorpllisnasofagraph,seesurvey1].Themainpurposeoftheseresearchesliesintheapplicatiollsofthealgebraictheoryofsendgroupstothetheoryofgraphs.ItiswellknowllthatoneofthemostimportantconceptsillselltigrouptheoryisGreen'srelations.In2],thecharacterizatiollofGreen'srelationsonsEnd(G),themolloidofthestrongendomorphisnisofagrapllG.isgiven.LetSbeasemigroup.Thenotation…


LEFT INVERSES AND RIGHT INVERSES OF A STRONG ENDOMORPHISM OF A GRAPH
Li Weimin.LEFT INVERSES AND RIGHT INVERSES OF A STRONG ENDOMORPHISM OF A GRAPH[J].Acta Mathematica Scientia,1997(4).
Authors:Li Weimin
Abstract:In this paper, we characterize left inverses and right inverses of a strong endomorphism of a graph under some certain Green's equivalence conditions. In addition,the number of them is also given.
Keywords:Strong endomorphism  Inverses  Graph
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