The weak hereditary class of a variety
Wiktor Bartol; Francesc Rosselló
Czechoslovak Mathematical Journal (2006)
- Volume: 56, Issue: 2, page 697-710
- ISSN: 0011-4642
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topBartol, Wiktor, and Rosselló, Francesc. "The weak hereditary class of a variety." Czechoslovak Mathematical Journal 56.2 (2006): 697-710. <http://eudml.org/doc/31060>.
@article{Bartol2006,
abstract = {We study the weak hereditary class $S_\{w\}(\mathcal \{K\})$ of all weak subalgebras of algebras in a total variety $\mathcal \{K\}$. We establish an algebraic characterization, in the sense of Birkhoff’s HSP theorem, and a syntactical characterization of these classes. We also consider the problem of when such a weak hereditary class is weak equational.},
author = {Bartol, Wiktor, Rosselló, Francesc},
journal = {Czechoslovak Mathematical Journal},
keywords = {partial algebras; varieties; weak subalgebras; weak equations; partial algebras; varieties; weak subalgebras; weak equations},
language = {eng},
number = {2},
pages = {697-710},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The weak hereditary class of a variety},
url = {http://eudml.org/doc/31060},
volume = {56},
year = {2006},
}
TY - JOUR
AU - Bartol, Wiktor
AU - Rosselló, Francesc
TI - The weak hereditary class of a variety
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 697
EP - 710
AB - We study the weak hereditary class $S_{w}(\mathcal {K})$ of all weak subalgebras of algebras in a total variety $\mathcal {K}$. We establish an algebraic characterization, in the sense of Birkhoff’s HSP theorem, and a syntactical characterization of these classes. We also consider the problem of when such a weak hereditary class is weak equational.
LA - eng
KW - partial algebras; varieties; weak subalgebras; weak equations; partial algebras; varieties; weak subalgebras; weak equations
UR - http://eudml.org/doc/31060
ER -
References
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