On Presented Dimensions of Modules and Rings

Dexu Zhou; Zhiwei Gong
January 2010
International Journal of Mathematics & Mathematical Sciences;2010, p1
Academic Journal
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.


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