摘要
本文先讨论了Ｚ／（ｐｍ）环的结构，如其幂零元、幂等元、可逆元、零因子和理想的结构和数量．然后，利用同构知识得到了Ｚ／（ｐ１ｍ１ｐ２ｍ２…ｐｔｍｔ）环的结构，即其幂零元、幂等元、可逆元、零因子和理想的结构和数量．
At first,we discuss the Structure of the ring Z/(pm ),namely,the structure and amount of nilpotent elements idempotent elements, invertible elements, zero divisors and ideals in Z/ (pm).Then, we use isomorphism to obtain the structure of the ring Z/(p1,m1 p2m2 …ptmt),namely,the structure and amount of its nilpotent elements,idempotent elements,inveedble elements,zero divisors and ideals.
出处
《湖北科技学院学报》
1994年第4期4-7,共4页
Journal of Hubei University of Science and Technology
关键词
环
同构
幂零元
幂等元
可逆元
零因子和理想
ring
isomorphism
nilpotent elements
idempotent elements
invertible elements
zero divisors and ideals
