On ideal extensions of partial monounary algebras
Czechoslovak Mathematical Journal (2008)
- Volume: 58, Issue: 2, page 331-344
- ISSN: 0011-4642
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topJakubíková-Studenovská, Danica. "On ideal extensions of partial monounary algebras." Czechoslovak Mathematical Journal 58.2 (2008): 331-344. <http://eudml.org/doc/31213>.
@article{Jakubíková2008,
abstract = {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 $(Y,f_Y)$.},
author = {Jakubíková-Studenovská, Danica},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial monounary algebra; ideal; congruence; quotient algebra; ideal extension; partial monounary algebra; ideal; congruence; quotient algebra; ideal extension},
language = {eng},
number = {2},
pages = {331-344},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On ideal extensions of partial monounary algebras},
url = {http://eudml.org/doc/31213},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Jakubíková-Studenovská, Danica
TI - On ideal extensions of partial monounary algebras
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 2
SP - 331
EP - 344
AB - 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 $(Y,f_Y)$.
LA - eng
KW - partial monounary algebra; ideal; congruence; quotient algebra; ideal extension; partial monounary algebra; ideal; congruence; quotient algebra; ideal extension
UR - http://eudml.org/doc/31213
ER -
References
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