Antiatomic retract varieties of monounary algebras
Danica Jakubíková-Studenovská (1998)
Czechoslovak Mathematical Journal
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Danica Jakubíková-Studenovská (1998)
Czechoslovak Mathematical Journal
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Danica Jakubíková-Studenovská (1996)
Mathematica Bohemica
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Let be a connected monounary algebra. The paper deals with retract irreducibility of in the class of all connected monounary algebras and in the class of all monounary algebras.
Danica Jakubíková-Studenovská (2000)
Czechoslovak Mathematical Journal
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Danica Jakubíková-Studenovská, Jozef Pócs (2007)
Czechoslovak Mathematical Journal
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The term “Retract Theorem” has been applied in literature in connection with group theory. In the present paper we prove that the Retract Theorem is valid (i) for each finite structure, and (ii) for each monounary algebra. On the other hand, we show that this theorem fails to be valid, in general, for algebras of the form , where each is unary and .