Abstract
Let X be a non-empty set. I not equal phi, I is an element of P(X) is an ideal on X, if A is an element of I and B is an element of I double right arrow A boolean OR B is an element of I & A is an element of I and B subset of A double right arrow B is an element of I [7]. Let (X, tau) be a topological space. A subset of X is called beta-open, if A subset of cl(int(cl(A))) [1]. Let (X, tau, I) be an ideal topological space. A subset of X is called beta(I)-open, if there exists U is an element of tau such that (U - A) is an element of I and (A - cl(int(cl(U))) is an element of I [4]. This note shows that the main results of the paper [4] [European Journal of Pure and Applied Mathematics 6 (2019) 893-903] are incorrect in general, by giving counter examples. The correct form of the incorrect results in [4] is presented.