Regular ring R is a nonempty set with two binary operations that satisfied ring axioms and qualifies for any x in R there is y in R such that x=xyx. Regular ring R ̃ is a ring of the set of endomorphism R^+ with identity. For any regular ring R and R´ can be defined a bijective mapping from R to R´ that satisfies ring homomorphism axioms or in the otherwords that mapping is an isomorphism from R to R´. By using the concept of regular ring and ring isomorphism can be determined extension of regular ring. Regular ring R is said to be embedded in regular ring R^R ̃ if there exists a subring R^0 of R^R ̃ such that R is isomorphic to R^0. Furthermore, regular ring R^R ̃ can be said as an extension of regular ring R.
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