Geodesic
The weak hereditary class of a variety
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 697-710

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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.
Classification : 08A55, 08B99
Keywords: partial algebras; varieties; weak subalgebras; weak equations 
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     author = {Bartol, Wiktor and Rossell\'o, Francesc},
     title = {The weak hereditary class of a variety},
     journal = {Czechoslovak Mathematical Journal},
     pages = {697--710},
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Bartol, Wiktor; Rosselló, Francesc. The weak hereditary class of a variety. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 697-710. http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a32/