Louisiana (except for railroad, telegraph and telephone corporations) "Corporation", "Incorporated" or "Limited", or the abbreviation of any of those words, or may contain instead the word "Company" or the abbreviation "Co." if the latter word or abbreviation is not immediately preceded by the word "and" or the symbol "&". No corporate name shall contain the phrase "doing business as" or the abbreviation "d/b/a". Only a bank or bank holding company is allowed to use any of "bank", "banker", "banking", "savings", "safe deposit", "trust", "trustee", "building and loan", "homestead", "credit union", "insurance", "casualty", "redevelopment corporation", or "electric cooperative". § 12:23 Louisiana Revised Statutes
Entity Number – The entity number is a unique identifier assigned to a business by the Ohio Secretary of State. It is a 'Charter Number' for Domestic Corporations. It is a 'License Number' for Foreign Corporations.  It is a “Registration Number” for Domestic and Foreign Limited Liability Companies, Partnerships, Trusts, Trade Names, Fictitious Names, Name Reservations, Trademarks, and Service Marks,
Company (khevra, חברה) – for-profit entity which may engage in any lawful activity. Most companies limit the liability of their shareholders. In that case, the phrase "Limited" or the abbreviation "Ltd." must appear as part of the full name of the company. The term "B.M."/"BM" (בע"מ), literally: by limited liability/warranty, is usually translated as "Ltd." in English and pronounced "ba'AM" in Hebrew. Companies are governed by the Companies Act, 5759-1999 (חוק החברות, תשנ"ט-1999). Few sections are still in force from the Companies Ordinance [New Form], 5743-1983 (פקודת החברות [נוסח חדש], תשמ"ג-1983).

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.