A partnership is a business relationship entered into by a formal agreement between two or more persons or corporations carrying on a business in common. The capital for a partnership is provided by the partners who are liable for the total debts of the firms and who share the profits and losses of the business concern according to the terms of the partnership agreement.
Maryland For Corporations: "Company", if it is not preceded by the word "and" or a symbol for the word "and"; "Corporation", "Incorporated" or "Limited" or abbreviations; for Limited liability companies: "limited liability company", "L.L.C.", "LLC", "L.C.", or "LC"; for Limited liability partnerships: "limited liability partnership", "L.L.P." or "LLP"; for Limited partnerships: "limited partnership", "L.P.", or "LP"; for Limited liability limited partnerships: "limited liability limited partnership", "L.L.L.P.", or "LLLP"; for Professional corporations: "chartered", "chtd.", "professional association", "P.A.", "professional corporation", or "P.C." Maryland Code – Corporations and Associations § 1-502
Oregon For private corporations it shall contain one or more of the words "corporation", "incorporated", "company" or "limited" or an abbreviation of one or more of those words; shall not contain the word "cooperative." For non-profit corporations there is no specific requirement except the name cannot imply a purpose not dictated in its articles of incorporation and cannot contain the word "cooperative" or the phrase "limited partnership." Oregon Revised Statutes 60.094 for Private Corporations; ORS 65.094 for Non-Profit corporations
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.