On Presented Dimensions of Modules and Rings | Zendy

Zhou De-xu | Zendy; Zhiwei Gong | Zendy

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On Presented Dimensions of Modules and Rings

Author(s) -

Zhou De-xu,

Zhiwei Gong

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/256267

Subject(s) - global dimension , mathematics , dimension (graph theory) , dimension theory (algebra) , packing dimension , pure mathematics , inductive dimension , ring (chemistry) , dimension function , complex dimension , algebra over a field , discrete mathematics , mathematical analysis , hausdorff dimension , minkowski–bouligand dimension , chemistry , fractal dimension , organic chemistry , fractal

We define the presented dimensions for modules and rings to measure how far awaya module is from having an infinite finite presentation and develop ways to computethe projective dimension of a module with a finite presented dimension and the rightglobal 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 fourclasses according to these dimensions

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