REMARK 1. In my paper “On some Gelfand-Mazur like theorems in Banach algebras” [2], I stated as Theorem 3.1 the following result: If A is a complex Banach algebra, which is locally finite and if A is an integral domain then A is isomorphic to C. The proof given there is wrong. The mistake occurred when the principal ideal (h) was considered. Certainly (h) is finitely generated as an ideal, but not necessarily as an algebra. However thanks to the following theorem of Heinze [1], the stated Theorem 3.1 of my paper [2] is still correct. Heinze's results states: An associative locally finite algebra which is also an integral domain, over an algebraically closed field is isomorphic to the ground field. The other theorems stated in [2] are correct.

Let R be a ring in which for each x, y in R there exists a positive integer n = n(x, y) such that (xy)n − (yx)n is in the center of R. Then R has a nil commutator ideal.

It is noted that the translation planes of Rao and Rao may be constructed from a Desarguesian plane by the replacement of a set of disjoint derivable nets. Their plane of order 25 which admits a collineation group splitting the infinite points into orbits of lengths 18 and 8 may be obtained by replacing exactly three disjoint derivable nets and may be viewed as being derived from the Andre nearfield plane of order 25.