St-closed Submodules and Semi-extending Modules

Riadh Abbas, Maysaa; Abbas Ahmed, Muna

ISBN 10: 3659864072 / ISBN 13: 9783659864070

Published by LAP LAMBERT Academic Publishing, 2016

About this Item

Seller Inventory # 26396998622

Bibliographic Details

• Title: St-closed Submodules and Semi-extending Modules
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2016
• Language: English
• ISBN 10: 3659864072
• ISBN 13: 9783659864070
• Binding: Soft cover
• Condition: New

About this title

Synopsis

The main purpose of this work is to determine and study two new concepts (up to our knowledge) which are St-closed submodules and semi-extending modules. St-closed submodules is contained properly in the class of closed submodules, where a submodule N of M is called St-closed in M, if N has no proper semi-essential extension in M, i.e if there exists a submodule K of M such that N is a semi-essential submodule of K, then N = K. We investigate the main properties of this type of submodules, and discuss some results that are useful in our work. The class of semi-extending modules is a generalization to the notion of extending modules, where an R-module M is called semi-extending, if every submodule of M is a semi-essential in a direct summand of M. Various properties of semi-extending modules are obtained, and we study the relationships between this class of modules and other related concepts.

About the Author

Maysaa Riadh: 1.She received Bachelor in Science of Mathematics from college of Sci.for women Univ.of Baghdad in 2012. 2.She received Masterin Science of Mathematics from college of Sci. for women Univ. of Baghdad in 2015.3.She has published 3 papers.