nLab
Boolean algebra object

Contents

Context

Relations

Category theory

Limits and colimits

(0,1)(0,1)-Category theory

Contents

Idea

The notion of a Boolean algebra object is the generalization of that of Boolean algebra as one passes from the ambient category of sets into more general ambient categories with suitable properties.

Definition

In a finitely complete category CC, a Boolean algebra object is a Boolean prealgebra object that is also a partially ordered object.

See also

Last revised on May 14, 2022 at 10:55:32. See the history of this page for a list of all contributions to it.