If you received a Notice to File a Business Property Statement from the Assessor and your business is no longer in operation, you are still required to file the Business Property Statement. You should also include a note on the Business Property Statement indicating that the business has closed, so the Assessor does not continue to assess the property.
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
Company limited by guarantee not having a share capital – Public company. Must have at least seven members. Members' liability limited to amount they have undertaken to contribute to company assets. If wound up, liability does not exceed amount specified in memorandum. If a guarantee company does not have a share capital, members are not required to buy shares (such as charities).
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.