Semigroup theory is a branch of abstract algebra that studies semigroups, which are algebraic structures consisting of a non-empty set equipped with an associative binary operation.
The "Cube" film series is a Canadian science fiction horror franchise that began with the release of the original "Cube" film in 1997, directed by Vincenzo Natali. The series is known for its unique premise, where characters find themselves trapped in a mysterious and deadly maze-like structure composed of interconnected, cube-shaped rooms.
Category theory is a branch of mathematics that focuses on the abstract study of mathematical structures and relationships between them. It provides a unifying framework to understand various mathematical concepts across different fields by focusing on the relationships (morphisms) between objects rather than the objects themselves. Here are some key concepts in category theory: 1. **Categories**: A category consists of objects and morphisms (arrows) that map between these objects. Each morphism has a source object and a target object.