If you received a Notice to File a Business Property Statement from the Assessor and your business is no longer in operation, you are still required to file the Business Property Statement. You should also include a note on the Business Property Statement indicating that the business has closed, so the Assessor does not continue to assess the property.
Maine words or abbreviations of words that describe the nature of the entity, including "professional association", "corporation", "company", "incorporated", "chartered", "limited", "limited partnership", "limited liability company", "professional limited liability company", "limited liability partnership", "registered limited liability partnership", "service corporation" or "professional corporation"; beginning July 1, 2007, may also include "limited liability limited partnership" for business corporations: Title 13-C § 401 Maine Revised Statutes; for non-profit corporations: Title 13-B § 301-A Maine Revised Statutes
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.