Noetherian module matrix over commutative ring
Master of Science in Pure Mathematics
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Universiti Malaysia Perlis (UniMAP)
2017
|
| Subjects: | |
| Online Access: | http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76628 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
my.unimap-76628 |
|---|---|
| record_format |
dspace |
| spelling |
my.unimap-766282022-10-26T01:05:41Z Noetherian module matrix over commutative ring Achmad, Abdurrazzaq Ahmad Kadri, Junoh, Dr. Algebra Commutative algebra Set theory Master of Science in Pure Mathematics Algebraic structure is a set together with one or more binary operations that satisfy some axioms of the binary operations, for example groups, rings, and modules. Modules M is Noetherian modules if the ascending chain condition hold for every submodules of M . Let R be a ring and M mxn (R) is set of matrices which the entries are element of R , if m = n then M n (R) together with addition and multiplication matrix is a ring called matrix ring. The aim of this study is to construct the algebraic structures from the set of matrices in order to fulfill every axioms of modules. The requirements for matrix ring M n (R) and module matrix M mxn (R) that satisfy the Noetherian conditions are investigated. The Noetherian term of algebraic structures will be studied, then the algebraic structure for the entries of the matrix will be determined such that satisfy the Noetherian module. This study, it has been shown that modules M mxn (R) is satisfy Noetherian R - module if the algebraic structure (R,+) is Noetherian group and module M mxn (R) is also Artinian module. The facts regarding homomorphism modules of M mxn (R) are also obtained 2017 2022-10-26T01:05:41Z 2022-10-26T01:05:41Z Thesis http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76628 en Universiti Malaysia Perlis (UniMAP) Universiti Malaysia Perlis (UniMAP) Institute of Engineering Mathematics |
| institution |
Universiti Malaysia Perlis |
| building |
UniMAP Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Malaysia Perlis |
| content_source |
UniMAP Library Digital Repository |
| url_provider |
http://dspace.unimap.edu.my/ |
| language |
English |
| topic |
Algebra Commutative algebra Set theory |
| spellingShingle |
Algebra Commutative algebra Set theory Achmad, Abdurrazzaq Noetherian module matrix over commutative ring |
| description |
Master of Science in Pure Mathematics |
| author2 |
Ahmad Kadri, Junoh, Dr. |
| author_facet |
Ahmad Kadri, Junoh, Dr. Achmad, Abdurrazzaq |
| format |
Thesis |
| author |
Achmad, Abdurrazzaq |
| author_sort |
Achmad, Abdurrazzaq |
| title |
Noetherian module matrix over commutative ring |
| title_short |
Noetherian module matrix over commutative ring |
| title_full |
Noetherian module matrix over commutative ring |
| title_fullStr |
Noetherian module matrix over commutative ring |
| title_full_unstemmed |
Noetherian module matrix over commutative ring |
| title_sort |
noetherian module matrix over commutative ring |
| publisher |
Universiti Malaysia Perlis (UniMAP) |
| publishDate |
2017 |
| url |
http://dspace.unimap.edu.my:80/xmlui/handle/123456789/76628 |
| _version_ |
1751537952256688128 |
| score |
13.214268 |