Unltd or Ultd (Unlimited/無限公司): similar to a limited liability company (Ltd) but whose members or shareholders do not benefit from limited liability should the company ever go into formal liquidation. It is not a requirement under company law to add or state the word or designation Unlimited (無限公司) or its abbreviations (Unltd or Ultd) at the ending of its legal company name, and most unlimited companies do not.
It should also be noted that the state of New York requires limited liability companies to comply with an unusually strict set of publication requirements. In addition to publishing notices in two papers in the county in which your business is forming, you will also be required to provide proof of this to New York’s Department of State within 120 days of becoming officially recognized as a business. Failing to do so can result in suspension of your right to conduct business in the state.
LLP, Limited Liability Partnership: a partnership where a partner's liability for the debts of the partnership is limited except in the case of liability for acts of professional negligence or malpractice. In some states, LLPs may only be formed for purposes of practicing a licensed profession, typically attorneys, accountants and architects. This is often the only form of limited partnership allowed for law firms (as opposed to general partnerships).
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
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.