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
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.
Despite being a relatively new option, the limited liability company (LLC) is now one of the most popular business structures among smaller organizations. While allowing business owners to remain free from a great deal of the regulations imposed on other types of companies, it still provides limited liability protection for its owners (members). This means that the personal assets of an LLC's ownership cannot be collected to fulfill the debts of the business.
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
Means a company having the liability of its members limited by memorandum to such amounts as the members may respectively undertake to contribute to the capital of the company in the event of its winding up. A company limited by guarantee is usually formed on a 'non profit basis'. Companies limited by guarantee use the words (Guarantee) Limited" as the last words of their n Unlimited Company

Vermont "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd.", or words or abbreviations of like import in another language; shall not have the word "cooperative" or any abbreviation thereof as part of its name unless the corporation is a worker cooperative corporation Title 11A, § 4.01 Vermont Statutes
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.
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