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Bul. Acad. Ştiinţe Repub. Mold. Mat., 2014, Number 3, Pages 30–37 (Mi basm370)  

The endomorphism semigroup of a free dimonoid of rank 1

Yurii V. Zhuchok

Kyiv Taras Shevchenko National University, Department of Mechanics and Mathematics, Volodymyrska str., 64, 01033 Kyiv, Ukraine

Abstract: We describe all endomorphisms of a free dimonoid of rank 1 and construct a semigroup which is isomorphic to the endomorphism semigroup of this free dimonoid. Also, we give an abstract characteristic for the endomorphism semigroup of a free dimonoid of rank 1.

Keywords and phrases: free dimonoid, endomorphism semigroup, isomorphism.

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MSC: 08A05
Received: 05.05.2014
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Citation: Yurii V. Zhuchok, “The endomorphism semigroup of a free dimonoid of rank 1”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2014, no. 3, 30–37

Citation in format AMSBIB
\Bibitem{Zhu14}
\by Yurii~V.~Zhuchok
\paper The endomorphism semigroup of a~free dimonoid of rank~1
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2014
\issue 3
\pages 30--37
\mathnet{http://mi.mathnet.ru/basm370}


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