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
Since limited liability companies can be a pass-through entity, owners are taxed on their personal income. S-Corp shareholders are taxed personally. The S-Corp, however, is not. C-Corp income is taxed at the corporate level first, then again at the personal level. This is called "double taxation." Non-Profits are only taxed once and can write off most of their expenses. Sole Proprietors are taxed only on their personal tax return.

Guam "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd.", or words or abbreviations of like import in another language; if the word "company" or its abbreviation is used, it shall not be immediately preceded by the word "and" or an abbreviation or symbol representing the word "and." Title 18, § 2110, Guam Code Annotated
Unlimited company (or Welsh (cwmni) anghyfyngedig). There is no limit on the liability of its members. It is not a requirement under company law to add or state the word or designation Unlimited or its abbreviations (Unltd., or Ultd.) at the ending of its legal company name, and most such companies do not do so. Unlimited companies are exempted from filing accounts with the Registrar of Companies for public disclosure, subject to a few exceptions (unless the company was a qualified subsidiary or a parent of a limited company during the accounting period).
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
Nebraska corporation, incorporated, company, or limited, or the abbreviation corp., inc., co., or ltd., or words or abbreviations of like import in another language, except that a corporation organized to conduct a banking business under the Nebraska Banking Act may use a name which includes the word bank without using any such words or abbreviations Section 21-2028 State of Nebraska 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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