Partially-2-homogeneous monounary algebras

Jakubíková-Studenovská, Danica. "Partially-2-homogeneous monounary algebras." Czechoslovak Mathematical Journal 53.3 (2003): 655-668. <http://eudml.org/doc/30807>.

@article{Jakubíková2003,
abstract = {This paper is a continuation of [5], where $k$-homogeneous and $k$-set-homogeneous algebras were defined. The definitions are analogous to those introduced by Fraïssé [2] and Droste, Giraudet, Macpherson, Sauer [1] for relational structures. In [5] we found all 2-homogeneous and all 2-set-homogeneous monounary algebras when the homogenity is considered with respect to subalgebras, to connected subalgebras and with respect to connected partial subalgebras, respectively. The results of [3], where all homogeneous monounary algebras were characterized, were applied in [4] for 1-homogeneity. The aim of the present paper is to describe all monounary algebras which are 2-homogeneous and 2-set-homogeneous with respect to partial subalgebras, respectively; we will say that they are partially-2-homogeneous and partially-2-set-homogeneous.},
author = {Jakubíková-Studenovská, Danica},
journal = {Czechoslovak Mathematical Journal},
keywords = {monounary algebra; 2-homogeneous; 2-set-homogeneous; partially-2-homogeneous; partially-2-set-homogeneous; monounary algebra; 2-set-homogeneous; partially-2-homogeneous; partially-2-set-homogeneous},
language = {eng},
number = {3},
pages = {655-668},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Partially-2-homogeneous monounary algebras},
url = {http://eudml.org/doc/30807},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubíková-Studenovská, Danica
TI - Partially-2-homogeneous monounary algebras
JO - Czechoslovak Mathematical Journal
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 53
IS - 3
SP - 655
EP - 668
AB - This paper is a continuation of [5], where $k$-homogeneous and $k$-set-homogeneous algebras were defined. The definitions are analogous to those introduced by Fraïssé [2] and Droste, Giraudet, Macpherson, Sauer [1] for relational structures. In [5] we found all 2-homogeneous and all 2-set-homogeneous monounary algebras when the homogenity is considered with respect to subalgebras, to connected subalgebras and with respect to connected partial subalgebras, respectively. The results of [3], where all homogeneous monounary algebras were characterized, were applied in [4] for 1-homogeneity. The aim of the present paper is to describe all monounary algebras which are 2-homogeneous and 2-set-homogeneous with respect to partial subalgebras, respectively; we will say that they are partially-2-homogeneous and partially-2-set-homogeneous.
LA - eng
KW - monounary algebra; 2-homogeneous; 2-set-homogeneous; partially-2-homogeneous; partially-2-set-homogeneous; monounary algebra; 2-set-homogeneous; partially-2-homogeneous; partially-2-set-homogeneous
UR - http://eudml.org/doc/30807
ER -