广义环

Generalized Ring

将环、子环(理想)、环的同态(构)、消去律、零因子等定义加以推广,得到了广义环、子广义环(理想)、广义环的同态(构)、广义消去律、因子的定义;并将环的性质、同态基本定理推广到广义环上,得到了广义环的性质、广义环的同态基本定理。

We generalize the definitions of ring, sub- ring （ideal）, homomorphism （isomorphism） of ring, cancellation law , zero divisor, ere, and get the definitions of generalized ring, generalized sub - ring （ideal）, homomorphism （isomorphism） of generalized ring, generalized eaneeUation law and e divisor; we also discuss some properties and homomorphism basic theorem of generalized ring.