Geodesic
On ideal extensions of partial monounary algebras
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 331-344.

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In the present paper we introduce the notion of an ideal of a partial monounary algebra. Further, for an ideal $(I,f_I)$ of a partial monounary algebra $(A,f_A)$ we define the quotient partial monounary algebra $(A,f_A)/(I,f_I)$. Let $(X,f_X)$, $(Y,f_Y)$ be partial monounary algebras. We describe all partial monounary algebras $(P,f_P)$ such that $(X,f_X)$ is an ideal of $(P,f_P)$ and $(P,f_P)/(X,f_X)$ is isomorphic to $(Y,f_Y)$.
Classification : 08A55, 08A60
Keywords: partial monounary algebra; ideal; congruence; quotient algebra; ideal extension 
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     title = {On ideal extensions of partial monounary algebras},
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Jakubíková-Studenovská, Danica. On ideal extensions of partial monounary algebras. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 331-344. http://geodesic.mathdoc.fr/item/CMJ_2008__58_2_a2/