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Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
Sponsored by: Institute of Computing Technology, CAS & China Computer Federation
Undertaken by: Institute of Computing Technology, CAS
Published by: SCIENCE PRESS, BEIJING, CHINA
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      05 July-September 2023, Volume 38 Issue 4
    Article

    POWER GRAPHS OF NON-GROUP SEMIGROUPS OF ORDER 〖 p〗^α q^β
    M. Pourhasan1*, H. Doosti2
    Journal of Data Acquisition and Processing, 2023, 38 (4): 282-286 . 

    Abstract

    For every different odd primes p and q we attempt to construct a class of non- group semigroups of order pαqβ by using the semidirect product of monogenic semigroups of indices greater than 1. Necessary conditions are given for the power graphs of monogenic and constructed semigroups to be Eulerian or complete.

    Keyword

    Power graphs, non-group semigroups, semidirect product.


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ISSN 1004-9037

         

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