分次拟半素理想与分次λ-环

Graded Quasisemiprime Ideals and Graded λ- Rings

在一般Monoid分次环范畴中 ,建立分次拟半素理想和分次 (左 )λ 环的概念 ,讨论它们的一些基本性质 ,证明分次 (左 )λ 环类构成分次根类 .

In the general category of monoid graded rings and grade preserving homomorphisms,we propose the notions of graded quasisemisimprime ideal and graded λ ring,investigate some basic properties of them and prove that both the class of graded λ rings and the class of graded left λ rings are graded radical class.