Kansas (except for banks) "association", "church", "college", "company", "corporation", "club", "foundation", "fund", "incorporated", "institute", "society", "union", "university", "syndicate" or "limited", or one of the abbreviations "co.", "corp.", "inc.", "ltd.", or words or abbreviations of like import in other languages if they are written in Roman characters or letters § 17-6002 Kansas Statutes

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Nevada	No specific requirements stated except that a name appearing to be that of a natural person and containing a given name or initials must not be used as a corporate name except with an additional word or words such as "Incorporated", "Limited", "Inc.", "Ltd.", "Company", "Co.", "Corporation", "Corp.", or other word which identifies it as not being a natural person	78.035 Nevada Revised Statutes

A partnership is a business relationship entered into by a formal agreement between two or more persons or corporations carrying on a business in common. The capital for a partnership is provided by the partners who are liable for the total debts of the firms and who share the profits and losses of the business concern according to the terms of the partnership agreement.
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).
Delaware "association", "company", "corporation", "club", "foundation", "fund", "incorporated", "institute", "society", "union", "syndicate", or "limited", (or abbreviations thereof, with or without punctuation), or words (or abbreviations thereof, with or without punctuation) of like import of foreign countries or jurisdictions (provided they are written in Roman characters or letters) Title 8, § 102, Delaware Code
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.