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
All formal business entities, including LLCs, are required to have a Registered Agent on file with the state at all times. The agent may be an individual or company with a physical address located in the state of incorporation. Agents must be available at all times during standard business hours (9 a.m. - 5 p.m. Monday – Friday). The role of a Registered Agent is to receive any and all of communications from the government to the business. The agent’s name and address must be disclosed as part of the company’s public record.
LLC, LC, Ltd. Co., Limited Liability Company: a form of business whose owners enjoy limited liability, but which is not a corporation. Allowable abbreviations vary by state. Note that in some states Ltd. by itself is not a valid abbreviation for an LLC, because in some states (e.g. Texas), it may denote a corporation instead. See also Series LLC. For U.S. federal tax purposes, in general, an LLC with two or more members is treated as a partnership, and an LLC with one member is treated as a sole proprietorship.

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
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

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Washington "corporation", "incorporated", "company", or "limited", or the abbreviation "corp.", "inc.", "co.", or "ltd."; must not include "Bank", "banking", "banker", "trust", "cooperative", or any combination of the words "industrial" and "loan", or any combination of any two or more of the words "building", "savings", "loan", "home", "association", and "society" § 23B.04.010 Revised Code of Washington

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.