A REMARK ON THE EXTENSIBILITY OF ISOMORPHISMS OF MINIMUM ONE-SIDE IDEALS

Ⅰ. INTRODUCTION In this paper, all the linear spaces mean left spaces. Let Ωi be the complete ring of linear transformations of a linear space （?）i over a division ring △i（i = 1, 2）.in [1, Theorem 1.4.1], Xu Yonghua has proved the following extension theorem: A ring isomorphism of the minimum right ideals of Ω1 and Ω2 can be unique-