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Czechoslovak Mathematical Journal, Vol. 57, No. 2, pp. 671-677, 2007
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Homomorphic images of finite subdirectly irreducible unary algebras

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J. Jezek, P. Markovic, D. Stanovsky

* J. Jezek*, * D. Stanovsky*, Department of Algebra, Charles University, Sokolovska 83, 186 75 Praha 8, Czech Republic, e-mails: ` jezek@karlin.mff.cuni.cz`, ` stanovsk@karlin.mff.cuni.cz`; * P. Markovic*, Department of Mathematics and Informatics, Faculty of Science, University of Novi Sad, trg Dositeja Obradovica 3, 21000 Novi Sad, Serbia and Montenegro, e-mail: ` pera@im.ns.ac.yu`

**Abstract:** We prove that a finite unary algebra with at least two operation symbols is a homomorphic image of a (finite) subdirectly irreducible algebra if and only if the intersection of all its subalgebras which have at least two elements is nonempty.

**Keywords:** subdirectly irreducible unary algebra

**Classification (MSC 2000):** 08A60, 08B26

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