STUDY ABOUT MULTIPLICATION MODULES AND PURE SUBMMODULES OVER COMMUTATIVE RINGS
Let R be a commutative ring with nonzero identity and M be R-module. An R- module M is said multiplication module if for any submodule N of M, there exists ideal I such that N = IM. Ideal fr2R : rMNg is denoted as (N : M) and ideal (0 : M) be annihilator of M. In this book,we will study relation...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/39162 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Let R be a commutative ring with nonzero identity and M be R-module. An R-
module M is said multiplication module if for any submodule N of M, there exists
ideal I such that N = IM. Ideal fr2R : rMNg is denoted as (N : M) and ideal
(0 : M) be annihilator of M.
In this book,we will study relation between multiplication R-module M and pure
R-submodule in M. Will be seen what characteristics can be brought to the multiplication
modules and its relation with pure submodules. Finally, we will discuss
the connection between the two with strong pure submodules in M. |
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