1. The weak hereditary class of a variety
- Creator:
- Bartol, Wiktor and Rosselló, Francesc
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- partial algebras, varieties, weak subalgebras, and weak equations
- Language:
- English
- Description:
- 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public