Asia Mathematika

An International Journal. ISSN: 2457-0834 (online)

Volume 2, Issue 1, April 2018, pp 20-30

On 𝘎𝘍-projective modules and dimension

Lingling Tan

Department of Electronic Engineering, Jiangsu Province Nanjing Engineering Vocational College, 211135 Nanjing, China.


In this paper, we introduce the notion of (strongly) 𝘎𝘍-projective modules. We show that a module is projective if and only if it is 𝘎𝘍-projective and its Gorenstein flat dimension is at most 1, if and only if it is strongly 𝘎𝘍-projective and Gorenstein flat. Moreover, we investigate (global) 𝘎𝘍-projective dimensions of modules and rings, and some applications are presented.


Gorenstein flat module, 𝘎𝘍-projective module, (global) 𝘎𝘍-projective dimension.



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