Abstract algebra

From Simple English Wikipedia, the free encyclopedia

Abstract algebra is a part of maths which looks at the different algebraic structures like:

• semigroups,
• monoids,
• groups,
• rings,
• fields,
• modules,
• vectors spaces and
• algebras.

The person then makes some theories. It is normal to build a theory on one kind of structure, like the group theory or the category theory.

Each theory has the mission of organizing in a simple-to-complex model the precise definition of a concept, examples, its substructures, the relations between them: morphisms and its applications, inside the own theory as well outside.