Nishida.md

Title. Primer of Quasivariety Lattices

Speaker. Joy N. Nishida

Abstract. The lattice of subquasivarieties of a quasivariety can be represented as the lattice $$\operatorname S_p (\mathbf L,H)$$ of $$H$$-closed algebraic subsets of an algebraic lattice $$\mathbf L$$ with a monoid $$H$$ of operators. This representation is used to develop new restrictions on the equational closure operator. A method that enables us to represent some finite lattices as lattices of subquasivarieties is described.