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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/256267 |
| Summary: | 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. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |