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

North Carolina a corporation must contain the word "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd."; a limited liability company must contain the words "limited liability company" or the abbreviation "L.L.C." or "LLC", or the combination "ltd. liability co.", "limited liability co.", or "ltd. liability company"; a limited partnership that is not a limited liability limited partnership must contain the words "limited partnership", the abbreviation "L.P." or "LP", or the combination "ltd. partnership"; a limited liability limited partnership must contain the words "registered limited liability limited partnership" or "limited liability limited partnership" or the abbreviation "L.L.L.P.", "R.L.L.L.P.", "LLLP", or "RLLLP"; a registered limited liability partnership's name must contain the words "registered limited liability partnership" or "limited liability partnership" or the abbreviation "L.L.P.", "R.L.L.P.", "LLP" or "RLLP". North Carolina General Statutes § 55D‑20
Please note that the database does not include corporate or other business entity assumed names filed pursuant to General Business Law, §130. Assumed name filings are filed and maintained by the Division of Corporations for corporations, limited liability companies and limited partnerships. Although maintained by the Division of Corporations, searches of records of assumed names used by corporations, limited liability companies and limited partnerships must be made by a written, faxed or e-mail request to the Division. All other entities such as general partnerships, sole proprietorships and limited liability partnerships file an assumed name certificate directly with the county clerk in each county in which the entity conducts or transacts business.
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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