(a) A foreign limited liability company may register its name subject to the requirements of section 10-1005, if the name is distinguishable upon the records of the Secretary of State from names that are not available under section 1-105(b).
(b) A foreign limited liability company registers its name, or its name with any addition required by section 10-1005, by delivering to the Secretary of State for filing an application:
(1) Setting forth its name, or its name with any addition required by section 10-1005, the state or country and date of its organization and a brief description of the nature of the business in which it is engaged; and
(2) Accompanied by a certificate of existence, or a record of similar import, from the state or country of organization.
(c) A foreign limited liability company whose registration is effective may renew it for successive years by delivering for filing in the office of the Secretary of State a renewal application complying with subsection (b) of this section between October 1, and December 31, of the preceding year. The renewal application renews the registration for the following calendar year.
(d) A foreign limited liability company whose registration is effective may qualify as a foreign company under its name or consent in writing to the use of its name by a limited liability company later organized under this chapter or by another foreign company later authorized to transact business in this state. The registered name terminates when the limited liability company is organized or the foreign company qualifies or consents to the qualification of another foreign company under the registered name.