Strongly (Comletely) Hollow Submodules I

Let R be a commutative ring with unity and let M be an R-module. In this paper we study strongly (completely) hollow submodules and quasi-hollow submodules. We investigate the basic properties of these submodules and the relationships between them. Also we study the be behavior of these submodul...

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Bibliographic Details
Main Authors: I. M. A. Hadi, Gh. A. Humod
Format: Article
Language:English
Published: University of Baghdad 2017-05-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Subjects:
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/557
Description
Summary:Let R be a commutative ring with unity and let M be an R-module. In this paper we study strongly (completely) hollow submodules and quasi-hollow submodules. We investigate the basic properties of these submodules and the relationships between them. Also we study the be behavior of these submodules under certain class of modules such as compultiplication, distributive, multiplication and scalar modules. In part II we shall continue the study of these submodules.
ISSN:1609-4042
2521-3407