论文标题
在分级模块的分级模块的分级初级模块上
On graded primary-like submodules of graded modules over graded commutative rings
论文作者
论文摘要
让$ g $是具有身份$ e $的集团。令$ r $为$ g $的换向戒指和$ m $ a级别$ r $ - 模块。在本文中，我们介绍了分级类样的子模型的概念，作为对分级原理的新概括，并就分级模块的分级原代样本模块产生一些基本结果。当分级的子模型满足GR Primeful属性时，请特别注意这些分级子模型的额外属性。
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring and $M$ a graded $R$-module. In this paper, we introduce the concept of graded primary-like submodules as a new generalization of graded primary ideals and give some basic results about graded primary-like submodules of graded modules. Special attention has been paid, when graded submodules satisfies the gr-primeful property, to find extra properties of these graded submodules.
