In Mathematics, it is common practice to identify the carriers of isomorphic algebraic structures. We believe that this is incompatible with the rigour and the accuracy which are the main characteristics of Mathematics. Specifically, if ( )( )( )

Avoiding the inaccuracy of identifying isomorphic algebraic structures

In mathematics, the identification of the carriers of isomorphic algebraic structures, although mathematically inappropriate, is a standard practice. In this paper we deal with the case of the identification of the carriers of integral domains, and we prove that when an integral domain is embedded in the integral domain , that is when is isomorphic to a subdomain of , we can construct an integral domain () isomorphic to such that is indeed, a subdomain of () .

M. A. Georgiacodis

Papers

On the identification of carriers, II. (Integral domains)