I assume you are asking about the various ways in which ownership of a business can be arranged. If so, there are three broad ways in which business ownership can be arranged. These are sole proprietorships, partnerships, and corporations.
A sole proprietorship is a business that is owned completely by one person. A partnership is a business that is jointly owned by two or more people. Finally, there is a corporation. A corporation is a legal entity with a "life" of its own. A corporation has no owner. Instead, it is owned by a group of people who own shares in the business.