Determining Possibility for Division by 0 in Subfields of R

In this research project I investigated fields contained in R which use the same operations, in which division by 0 by definition is an allowable operation. I hope to continue this by exploring other unusual properties of R0 and other R-subfields further. This depends heavily on the assumption that a field may have an additive identity equal to its multiplicative identity.

https://files.acrobat.com/a/preview/254bf6c1-10f1-4feb-a498-12e9f90e462d