ABSTRACT
An element s in a ring with identity T is regular if s is not a zero divisor of T. Let S denote the collection of regular elements of T. Easily, S is a multiplicatively closed set. A ring Q 1(T) ⊇ T is called a left classical ring of quotients of T if the elements of S are invertible in Ql (T) and each r ∈ Ql (T) can be written as r = s −1 t with s ∈ S and t ∈ T. More precisely, we have the following.
