Geodesic
On ideal extensions of partial monounary algebras
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 2, pp. 331-344 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $(Y,f_Y)$.
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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     author = {Jakub{\'\i}kov\'a-Studenovsk\'a, Danica},
     title = {On ideal extensions of partial monounary algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {331--344},
     year = {2008},
     volume = {58},
     number = {2},
     mrnumber = {2411093},
     zbl = {1174.08300},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_2_a2/}
}
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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/