In order to define the operation of Division By Zero, a new algebraic structure will be created as an extension to a Field in such a way that for every non-zero $x$ which is an element of a Field,… Expand

To allow for Division By Zero, we develop a new algebraic structure containing addition and multiplication called an S-Extension of a Field. This unique structure extends a Field so that the equation… Expand

The purpose of this paper is to emulate the process used in defining and learning about the algebraic structure known as a Field in order to create a new algebraic structure which contains numbers… Expand