分次2-吸收互主子模
On Graded 2-Absorbing Coprimary Submodules
摘要：
引入分次$2$ -吸收共主子模的概念，作为分次强$2$ -吸收第二子模的推广，并讨论了这类模的一些性质.分次$R$ -模块$M$的非零分次$R$-子模块$N$称为分次$2$ -吸收共主$R$ -子模块，如果只要$x, y$是$R$的齐次元素，并且$K$是$M$的分次$R$ -子模块，使得$xyN\subseteq K$，则$x$或$y$在$(K :_{R} N)$或$xy\in Ann_{R}(N)$的分次根中.已取得若干成果。
英文摘要：
The aim of this article is to introduce the concept of graded $2$-absorbing coprimary submodules as a generalization of graded strongly $2$-absorbing second submodules, and explore some properties of this class. A non-zero graded $R$-submodule $N$ of a graded $R$-module $M$ is called a graded $2$-absorbing coprimary $R$-submodule if whenever $x, y$ are homogeneous elements of $R$ and $K$ is a graded $R$-submodule of $M$ such that $xyN\subseteq K$, then either $x$ or $y$ is in the graded radical of $(K :_{R} N)$ or $xy\in Ann_{R}(N)$. Several results have been achieved.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
