On Presented Dimensions of Modules and Rings
We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right global dimension of a ring. We also make a compari...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/256267 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562452071448576 |
|---|---|
| author | Dexu Zhou Zhiwei Gong |
| author_facet | Dexu Zhou Zhiwei Gong |
| author_sort | Dexu Zhou |
| collection | DOAJ |
| description | We define the presented dimensions for modules and rings to measure how far away
a module is from having an infinite finite presentation and develop ways to compute
the projective dimension of a module with a finite presented dimension and the right
global dimension of a ring. We also make a comparison of the right global dimension,
the weak global dimension, and the presented dimension and divide rings into four
classes according to these dimensions. |
| format | Article |
| id | doaj-art-23d9fdcc2da347129d4b1a67c98c7472 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-23d9fdcc2da347129d4b1a67c98c74722025-02-03T01:22:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/256267256267On Presented Dimensions of Modules and RingsDexu Zhou0Zhiwei Gong1Department of Mathematics, Fujian Normal University, Fuzhou 350007, ChinaCollege of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002, ChinaWe define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right global dimension of a ring. We also make a comparison of the right global dimension, the weak global dimension, and the presented dimension and divide rings into four classes according to these dimensions.http://dx.doi.org/10.1155/2010/256267 |
| spellingShingle | Dexu Zhou Zhiwei Gong On Presented Dimensions of Modules and Rings International Journal of Mathematics and Mathematical Sciences |
| title | On Presented Dimensions of Modules and Rings |
| title_full | On Presented Dimensions of Modules and Rings |
| title_fullStr | On Presented Dimensions of Modules and Rings |
| title_full_unstemmed | On Presented Dimensions of Modules and Rings |
| title_short | On Presented Dimensions of Modules and Rings |
| title_sort | on presented dimensions of modules and rings |
| url | http://dx.doi.org/10.1155/2010/256267 |
| work_keys_str_mv | AT dexuzhou onpresenteddimensionsofmodulesandrings AT zhiweigong onpresenteddimensionsofmodulesandrings |