论文标题
在分级$ -2的$ -2划分的划分的级别模块的划分的划分的套件
On graded $A$-2-absorbing submodules of graded modules over graded commutative rings
论文作者
论文摘要
让$ g $是具有身份$ e $的集团。让$ r $为$ g $的交换戒指，$ m $ a级$ r $ $ - 模块和$ a \ subseteq h（r）$ a $ r $的多层闭合子集。在本文中，我们介绍了$ -2 $ 2 $ M $的分级$ -2的概念，作为对分级2次吸收的subsodules的概括，并分级$ a $ a $ prime-prime subsodules $M。$ $。我们调查了此类分级子模型的一些属性。
Let $G$ be a group with identity $e$. Let $R$ be a $G$-graded commutative ring, $M$ a graded $R$-module and $A\subseteq h(R)$ a multiplicatively closed subset of $R$. In this paper, we introduce the concept of graded $A$-2-absorbing submodules of $M$ as a generalization of graded 2-absorbing submodules and graded $A$-prime submodules of $M.$ We investigate some properties of this class of graded submodules.
