论文标题
广义减少模块
Generalised reduced modules
论文作者
论文摘要
让$ r $为可交换的Unital环，$ a \ in R $和$ t $ a正整数。 $ a^{t} $ - 简化$ r $ -Modules和普遍$ a^{t} $ - 简化$ r $ -Modules并给出了它们的属性。通过服用$ t = 1 $，检索了有关减少$ r $ $模型的已知结果（分别获得），并推导了有关减少环的结果。
Let $R$ be a commutative unital ring, $a\in R$ and $t$ a positive integer. $a^{t}$-reduced $R$-modules and universally $a^{t}$-reduced $R$-modules are defined and their properties given. Known (resp. new) results about reduced $R$-modules are retrieved (resp. obtained) by taking $t=1$ and results about reduced rings are deduced.
