A corporation which, on September 20, 1957, had a place of business in this state, was permitted to engage in the practice of public accountancy in this state, was actually so engaged, and which at that time had fully complied with all laws of this state relating to it may register with the board as a corporation engaged in the practice of public accountancy on or before January 1, 1958. Registration also may be made by any corporation organized pursuant to the Nebraska Professional Corporation Act. Application for such registration must be made upon the affidavit of an officer of such corporation. The board shall in each case determine whether the applicant is eligible for registration. A corporation which is so registered and which holds a permit issued under subdivision (1)(f) of section 1-136 may practice public accountancy and, in that connection, may use a corporate name which indicates, as a part of such name, that it is engaged in such practice if it had such corporate name on September 20, 1957.