In this paper, we introduce the concepts of an integral element and the integral closure for modules, and discuss the integrally closed properties of submodules.
本文引进了模上的整元素及模的整闭包的概念，讨论了子模的整闭性问题。
Moreover, we obtain that prime submodules of integrally closed R-modules are also integrally closed.
此外，还证明了整闭r -模中的素子模也是整闭的。
Moreover, we obtain that prime submodules of integrally closed R-modules are also integrally closed.
此外，还证明了整闭r -模中的素子模也是整闭的。
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