Modules with Noetherian second spectrum

Document Type : Research Paper

Author

University of Farhangian

Abstract

Let $R$ be a commutative ring and let $M$ be an $R$-module. In this article, we introduce the concept of the Zariski socles of submodules of $M$ and investigate their properties. Also we study modules with Noetherian second spectrum and obtain some related results.

Keywords