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

Mathematica Bohemica (1996)

- Volume: 121, Issue: 2, page 177-182
- ISSN: 0862-7959

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topChajda, 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 -

## References

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