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The Axiomatic Construction Of A New Algebraic Structure In Order To Extend A Field And Define Division By Zero
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
A New Algebraic Structure That Extends Fields And Allows For A True Division By Zero
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 equationExpand
An Introduction To S-Structures And Defining Division By Zero
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 numbersExpand