Unlike in many other Western countries, Canadian businesses generally only have one form of incorporation available. Unlimited liability corporations can be formed in Alberta "AULC", British Columbia "BCULC" and Nova Scotia "NSULC". The aforementioned unlimited liability corporations are generally not used as operating business structures, but are instead used to create favorable tax positions for either Americans investing in Canada or vice versa. For U.S. tax purposes the ULC is classified as a disregarded entity.
Private Limited Company: Liability, limited by shares; Name, cannot be deceptively similar to another registered company; Management, at least 1 director; Shareholders, limited to 1–50 excluding persons who are employed by company, prohibition against any invitation to the public to subscribe for shares; Founders, 1–50; Nationality, Nepalese company; Company purpose, any lawful purpose except industry on Negative List; Formation, file Memorandum and Articles of Association with Registrar of Companies.
LP, Limited partnership: a partnership where at least one partner (the general partner, which may itself be an entity or an individual) has unlimited liability for the LP's debts and one or more partners (the limited partners) have limited liability (which means that they are not responsible for the LP's debts beyond the amount they agreed to invest). Limited partners generally do not participate in the management of the entity or its business.
On the other hand, if you are not responsible for its tax, then you should declare the equipment in Part III of the Business Property Statement (Equipment belonging to others). Where equipment is declared in Part III of the Business Property Statement, the Assessor will also send a Notice to File to the person reported as the equipment's actual owner.