Inverses and Pseudo-Inverses of a Strong Endomorphism of a Graph 被引量：1

Inverses and Pseudo-Inverses of a Strong Endomorphism of a Graph

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摘要 In this paper,we explicitly describe all the inverses and pseudo-inverses of a strong endomorphism of a graph.The number of them is determined.In addition,we give a characterization of a strong endomorphism whose pseudo-inverse set coincides with its inverse set.The graph,each strong endomorphism of which has this property,is also investigated. In this paper,we explicitly describe all the inverses and pseudo-inverses of a strong endomorphism of a graph.The number of them is determined.In addition,we give a characterization of a strong endomorphism whose pseudo-inverse set coincides with its inverse set.The graph,each strong endomorphism of which has this property,is also investigated.

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 1995年第4期372-380,共9页 数学学报（英文版）

关键词 Strong endomorphism Inverse PSEUDO-INVERSE SEMIGROUP GRAPH Strong endomorphism Inverse Pseudo-inverse Semigroup Graph

分类号 O1 [理学—基础数学]

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引证文献1

1李为民.图的强自同态么半群中幂等元的覆盖关系[J].Northeastern Mathematical Journal,2000,16(2):145-150.

1李为民.LEFT INVERSES AND RIGHT INVERSES OF A STRONG ENDOMORPHISM OF A GRAPH[J].Acta Mathematica Scientia,1997,17(4):385-391.
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3Jie FANG.An Extended Ockham Algebra with Endomorphism Kernel Property[J].Acta Mathematica Sinica,English Series,2007,23(9):1611-1620. 被引量：2
4朱澍.Unstable manifolds for endomorphisms[J].Science China Mathematics,1998,41(2):147-157. 被引量：1
5WEN Dao-wei.A construction of quasi-hereditary endomorphism algebras[J].Applied Mathematics(A Journal of Chinese Universities),2014,29(1):119-126.
6李伟固.Existence of periodic points of endomorphisms of a circle[J].Science China Mathematics,1999,42(1):13-17.
7刘兴波,朱德明.SOME TOPOLOGICAL PROPERTIES OF ENDOMORPHISMS OF THE UNIT CIRCLE[J].Annals of Differential Equations,2003,19(3):368-370.
8张贤达.NUMERICAL CALCULATION OF BOTH LEFT AND RIGHT PSEUDO-INVERSES[J].Chinese Science Bulletin,1982,27(9):1022-1023.
9李为民.On Primitive Idempotents of the Strong Endomorphism Monoid of a Graph[J].Chinese Quarterly Journal of Mathematics,1997,12(4):20-26.
10D UAN Jun-sheng,GUO Ai-ping,YUN Wen-zai.Inverses and Powers of Matrices over an Incline[J].Chinese Quarterly Journal of Mathematics,2011,26(3):383-387.

Acta Mathematica Sinica,English Series

1995年第4期

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Inverses and Pseudo-Inverses of a Strong Endomorphism of a Graph 被引量：1

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