On GI-flat and GF-torsion modules

doi:10.3969/j.issn.0253-2778.2015.03.003

Journal of University of Science and Technology of China ›› 2015, Vol. 45 ›› Issue (3): 193-198.DOI: 10.3969/j.issn.0253-2778.2015.03.003

• Original Paper • Previous Articles

On GI-flat and GF-torsion modules

WANG Xiujian, ZHAO Yue, DU Xianneng

1.School of Finance and Mathematics, West Anhui University, Luan 237012, China; 2.College of Mathematics, Qingdao University, Qingdao 266071, China; 3.School of Mathematical Sciences, Anhui University, Hefei 230039, China

Received:2013-02-05 Revised:2014-03-03 Accepted:2014-03-03 Online:2014-03-03 Published:2014-03-03
Contact: DU Xianneng
About author:WANG Xiujian, male, born in 1982, PhD/lecturer. Research field: ring and algebra representation. E-mail:xjwang@wxc.edu.cn
Supported by:
Supported by the Key Program of Excellent Youth Foundation of Higher Education in Anhui Province (2013SQRL071ZD), the National Natural Science Foundation of China (11126173).

Abstract

Abstract: Two classes of modules were studied: GI-flat and GF-torsion modules, where GI stands for Gorenstein injective modules and GF for Gorenstein flat modules. Two homological dimensions for a ring were investigated, the supremum of the flat dimension of Gorenstein injective modules and the supremum of the GF-torsion dimension of all modules. The relation between these classes of modules and the homological dimensions was also studied.

Key words: Gorenstein injective modules, Gorenstein flat modules, GI-flat modules, GF-torsion modules

CLC Number:

WANG Xiujian, ZHAO Yue, DU Xianneng. On GI-flat and GF-torsion modules[J]. Journal of University of Science and Technology of China, 2015, 45(3): 193-198.

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On GI-flat and GF-torsion modules

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