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2 Isomorphic Lattices and Sublattices
4 Complete Lattices Equivalence Relations
32 other sections not shown
a a b a v b a,b e Abelian algebra of type algebraic closure algebraic closure operator algebraic lattice arity atomic bijection binary relation Birkhoff Boolean algebra Boolean product Boolean space class of algebras clopen closed subsets closure operator compact elements complete lattice congruence-permutable defined Definition denote direct product directly indecomposable distributive lattice equations equivalence relation example Exercise filter finite algebras finite set finitely based FK(X formula fully invariant congruence fundamental operations given hence homomorphism ideal idempotent infinite isomorphism language Lemma McKenzie modular lattice modular law nonempty nontrivial nullary operations numbers p x q partial order permutable poset principal congruences Proof quasigroup ring satisfies Sg(X structures of type subalgebra subdirect product subdirectly irreducible subdirectly irreducible algebras subdirectly irreducible members sublattice subuniverse suppose surjective Tarski Theorem theory trivial ultrafilter unary undecidable universal algebra verify Y\iei