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ON ENDOMORPHISM SEMIGROUP OF CONNECTED MONOUNARY ALGEBRAS WITH ONE-ELEMENT CYCLE

https://doi.org/10.22405/2226-8383-2013-14-4-188-195

Abstract

In this paper we consider the inverse problem. Our goal is to describe classes of semigroups which is isomorphic to the endomorphism semigroup of some monounary algebra. We describe the endomorphism semigroup for certain class of monounary algebras with an one-element cycle.

 

 

About the Author

S. V. Sirovatskaya

Russian Federation


References

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3. Artamonov V. A., Salii V. N., Skornyakov L. A. et al. Obshchaia algebra [General Algebra]. Vol. 2. Moscow: Nauka, 1991. (in Russian).

4. Knauer U., Mikhalev A. Endomorphism monoids of free acts and O-wreath products of monoids. I. Annihilator properties // Semigroup Forum. 1980. Vol. 19. P. 177–187. DOI: 10.1007/BF02572514.


Review

For citations:


Sirovatskaya S.V. ON ENDOMORPHISM SEMIGROUP OF CONNECTED MONOUNARY ALGEBRAS WITH ONE-ELEMENT CYCLE. Chebyshevskii Sbornik. 2013;14(4):188-195. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-4-188-195

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