论文信息 - FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES

FP-INJECTIVE COMPLEXES AND FP-INJECTIVE DIMENSION OF COMPLEXES

In this paper we extend the notion of FP-injective modules to that of complexes and characterize such complexes. We show that some characterizations similar to those for injective complexes exist for FP-injective complexes. We also introduce and study the notion of an FP-injective dimension associated to every complex of left R-modules over an arbitrary ring. We show that there is a close connection between the FP-injective dimension of complexes and flat dimension. 2010 Mathematics subject classification: primary 16E05; secondary 16E30.

Zhongkui Liu

[1] Katherine Pinzón. Absolutely Pure Covers , 2008 .

[2] James Gillespie. The flat model structure on () , 2004 .

[3] James Gillespie. THE FLAT MODEL STRUCTURE ON Ch(R) , 2004 .

[4] G. Rozas,et al. Covers and envelopes in the category of complexes of modules , 1999 .

[5] E. Enochs,et al. Flat Covers of Complexes , 1998 .

[6] E. Enochs,et al. Gorenstein injective and projective complexes , 1998 .

[7] E. Enochs,et al. Tensor Products of Complexes , 1997 .

[8] Overtoun M. G. Jenda,et al. Orthogonality in the Category of Complexes , 1996 .

[9] Robert Wisbauer,et al. Foundations of module and ring theory , 1991 .

[10] L. L. Avramov,et al. Homological dimensions of unbounded complexes , 1991 .

[11] Saroj Jain. Flat and FP-injectivity , 1973 .

[12] D. Fieldhouse. Character modules, dimension and purity , 1972, Glasgow Mathematical Journal.

[13] D. Fieldhouse. Character modules , 1971 .

[14] B. Stenström. Coherent Rings and Fp-Injective Modules , 1970 .

[15] C. Megibben. Absolutely pure modules , 1970 .