Definition:Degenerate Boolean Algebra

Definition

Let $\struct {S, \vee, \wedge, \neg}$ be a Boolean algebra.

Then $\struct {S, \vee, \wedge, \neg}$ is said to be degenerate if and only if $S$ is a singleton.

Also see

• Definition:Boolean Algebra

Sources

• 2008: Paul Halmos and Steven Givant: Introduction to Boolean Algebras ... (previous) ... (next): $\S 2$