The structure of elements in finite full transformation semigroups

The index and period of an element a of a finite semigroup are the smallest values of m ≥ 1 and r ≥ 1 such that am+r = am. An element with index m and period 1 is called an m-potent element. For an element α of a finite full transformation semigroup with index m and period r, a unique factorisation...

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Veröffentlicht in:	Bulletin of the Australian Mathematical Society 2005-02, Vol.71 (1), p.69-74
Hauptverfasser:	Ayik, Gonca, Ayik, Hayrullah, Ünlü, Yusuf, Howie, John M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Factorization Permutations Semigroups
Online-Zugang:	Volltext
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