Corp., Inc., Corporation, Incorporated: used to denote corporations (public or otherwise). These are the only terms universally accepted by all 51 corporation chartering jurisdictions in the United States. However, in some states other suffixes may be used to identify a corporation, such as Ltd., Co./Company, or the Italian term S.p.A. (in Connecticut; see under Italy). Some states that allow the use of "Company" prohibit the use of "and Company", "and Co.", "& Company" or "& Co.". In most states sole proprietorships and partnerships may register a fictitious "doing business as" name with the word "Company" in it. For a full list of allowed designations by state, see the table below.

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
New York Shall contain the word "corporation", "incorporated" or "limited", or an abbreviation of one of such words; there is also a long list of words a business corporation is not allowed to use without additional approval from other agencies including "board of trade", "state police", "urban development", "chamber of commerce", "state trooper", "urban relocation", "community renewal", "tenant relocation", "acceptance", "endowment", "loan", "annuity", "fidelity", "mortgage", "assurance", "finance", "savings" and many others New York State Consolidated Laws, Business Corporations Law § 301; Not-For-Profit Corporations Law, § 301

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
A public limited company. Must have at least seven members. Liability is limited to the amount, if any, unpaid on shares they hold. Unlawful to issue any form of prospectus except in compliance with the Companies Acts 1963–2006. Nominal value of Company's allotted share capital must satisfy specified minimums which must be fully paid before company commences business or exercises any borrowing powers.

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.