$\Sigma$-Hamiltonian and $\Sigma$-regular algebraic structures

Chajda, Ivan, and Emanovský, Petr. "$\Sigma $-Hamiltonian and $\Sigma $-regular algebraic structures." Mathematica Bohemica 121.2 (1996): 177-182. <http://eudml.org/doc/247968>.

@article{Chajda1996,
abstract = {The concept of a $\SS $-closed subset was introduced in [1] for an algebraic structure $=(A,F,R)$ of type $$ and a set $\SS $ of open formulas of the first order language $L()$. The set $C_\SS ()$ of all $\SS $-closed subsets of $$ forms a complete lattice whose properties were investigated in [1] and [2]. An algebraic structure $$ is called $\SS $- hamiltonian, if every non-empty $\SS $-closed subset of $$ is a class (block) of some congruence on $$; $$ is called $\SS $- regular, if $=\mathbb \{F\}$ for every two $$, $\mathbb \{F\}\in $ whenever they have a congruence class $B\in C_\SS ()$ in common. This paper contains some results connected with $\SS $-regularity and $\SS $-hamiltonian property of algebraic structures.},
author = {Chajda, Ivan, Emanovský, Petr},
journal = {Mathematica Bohemica},
keywords = {closure system; algebraic structure; $\SS $-closed subset; $\SS $-hamiltonian and $\SS $-regular algebraic structure; $\SS $-transferable congruence; closure system; -closed subset; -hamiltonian and -regular structure; -transferable congruence},
language = {eng},
number = {2},
pages = {177-182},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$\Sigma $-Hamiltonian and $\Sigma $-regular algebraic structures},
url = {http://eudml.org/doc/247968},
volume = {121},
year = {1996},
}

TY - JOUR
AU - Chajda, Ivan
AU - Emanovský, Petr
TI - $\Sigma $-Hamiltonian and $\Sigma $-regular algebraic structures
JO - Mathematica Bohemica
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 121
IS - 2
SP - 177
EP - 182
AB - The concept of a $\SS $-closed subset was introduced in [1] for an algebraic structure $=(A,F,R)$ of type $$ and a set $\SS $ of open formulas of the first order language $L()$. The set $C_\SS ()$ of all $\SS $-closed subsets of $$ forms a complete lattice whose properties were investigated in [1] and [2]. An algebraic structure $$ is called $\SS $- hamiltonian, if every non-empty $\SS $-closed subset of $$ is a class (block) of some congruence on $$; $$ is called $\SS $- regular, if $=\mathbb {F}$ for every two $$, $\mathbb {F}\in $ whenever they have a congruence class $B\in C_\SS ()$ in common. This paper contains some results connected with $\SS $-regularity and $\SS $-hamiltonian property of algebraic structures.
LA - eng
KW - closure system; algebraic structure; $\SS $-closed subset; $\SS $-hamiltonian and $\SS $-regular algebraic structure; $\SS $-transferable congruence; closure system; -closed subset; -hamiltonian and -regular structure; -transferable congruence
UR - http://eudml.org/doc/247968
ER -