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Note on Power Graphs of Certain Semigroups
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نویسنده
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soltani p. ,tehranian a. ,doostie h. ,rasouli h.
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منبع
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international journal of industrial mathematics - 2023 - دوره : 15 - شماره : 3 - صفحه:281 -284
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چکیده
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The finite semigroups are applicable in several branches of sciences. the power graph of such semi-groups is also an strategic tool in demonstrating the properties of semigroups. the completeness and the eulerianity of power graphs associated to finite commutative semigroups and finite non-commutative epigroups are studied in this paper. we show that these graphs may be non-completefor the monogenic semigroups and we gives a necessary and sucient condition for such graphs tobe complete when finite regular epigroups are considered. this study answers in part the naturalquestion is there any non-isomorphic non-group semigroups with the same complete power graph?
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کلیدواژه
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Graphs; Power graphs; Semigroups; Non-group semigroups
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آدرس
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islamic azad university, science and research branch, department of mathematics, Iran, islamic azad university, science and research branch, department of mathematics, Iran, kharazmi university, department of mathematics, Iran, islamic azad university, science and research branch, department of mathematics, Iran
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Authors
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