Subalgebra extensions of partial monounary algebras

Jakubíková-Studenovská, Danica. "Subalgebra extensions of partial monounary algebras." Czechoslovak Mathematical Journal 56.3 (2006): 845-855. <http://eudml.org/doc/31071>.

@article{Jakubíková2006,
abstract = {For a subalgebra $\{\mathcal \{B\}\}$ of a partial monounary algebra $\{\mathcal \{A\}\}$ we define the quotient partial monounary algebra $\{\mathcal \{A\}\}/\{\mathcal \{B\}\}$. Let $\{\mathcal \{B\}\}$, $\{\mathcal \{C\}\}$ be partial monounary algebras. In this paper we give a construction of all partial monounary algebras $\{\mathcal \{A\}\}$ such that $\{\mathcal \{B\}\}$ is a subalgebra of $\{\mathcal \{A\}\}$ and $\{\mathcal \{C\}\}\cong \{\mathcal \{A\}\}/\{\mathcal \{B\}\}$.},
author = {Jakubíková-Studenovská, Danica},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial monounary algebra; subalgebra; congruence; quotient algebra; subalgebra extension; ideal; ideal extension; partial monounary algebra; subalgebra; congruence; quotient algebra; subalgebra extension},
language = {eng},
number = {3},
pages = {845-855},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Subalgebra extensions of partial monounary algebras},
url = {http://eudml.org/doc/31071},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Jakubíková-Studenovská, Danica
TI - Subalgebra extensions of partial monounary algebras
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 3
SP - 845
EP - 855
AB - For a subalgebra ${\mathcal {B}}$ of a partial monounary algebra ${\mathcal {A}}$ we define the quotient partial monounary algebra ${\mathcal {A}}/{\mathcal {B}}$. Let ${\mathcal {B}}$, ${\mathcal {C}}$ be partial monounary algebras. In this paper we give a construction of all partial monounary algebras ${\mathcal {A}}$ such that ${\mathcal {B}}$ is a subalgebra of ${\mathcal {A}}$ and ${\mathcal {C}}\cong {\mathcal {A}}/{\mathcal {B}}$.
LA - eng
KW - partial monounary algebra; subalgebra; congruence; quotient algebra; subalgebra extension; ideal; ideal extension; partial monounary algebra; subalgebra; congruence; quotient algebra; subalgebra extension
UR - http://eudml.org/doc/31071
ER -