摘要
本文推广了环和域的概念,提出了新的代数系统———n层环和n层域。作为特例,当n=1时,即为普通的环和域。最后,举出了有关层环和层域的若干例子。
This paper has spread the conception of ring and field,and advance a new algebraic system,that is,n-layer ring and n-layer field:as special case,when n=1,they are ordinary ring and field.Lastly,we give several examples about layer ring and layer field.
关键词
层环
层域
环
Gauss半群
Layerring Layerfield Ring Gauss semigroup