近环与变换近环

Near-ring and Transformation Near-ring

定义了变换近环 ,然后证明了任意一个有单位元的近环与它的变换近环同构 ;任意一个无零因子近环与它的变换近环同构。

This paper gives a definition of transformation near-ring.Then it proves the following main results: 1.If N is any near-ring with the identity,it is isomorphic to a transformation near-ring; 2.If N is near-ring without nontrivial zero divisors,it is isomorphic to a transformation ring.