Projectively coresolved Gorenstein flat complexes

Journal of Lanzhou University of Technology ›› 2020, Vol. 46 ›› Issue (6): 153-158.

• Scientific • Previous Articles Next Articles

Projectively coresolved Gorenstein flat complexes

WU De-jun, ZHAO Zi-hong

School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2019-09-18 Online:2020-12-28 Published:2021-01-07

Abstract

Abstract: The concept of projectively coresolved Gorenstein flat complex is introduced. Over an arbitrary associate ring R, it is proven that G is a projectively coresolved Gorenstein flat complex if and only if each R-module G^m is a projective coresolved Gorenstein flat module for all m∈Z.Meanwhile, basic properties of projectively coresolved Gorenstein flat complexes are studied, and the relationship between projectively coresolved Gorenstein flat dimension of complex G and projectively coresolved Gorenstein flat dimension of each R-module G^m is discussed.

Key words: PGF-complex, preenvelope, projective complex

CLC Number:

O154.2

WU De-jun, ZHAO Zi-hong. Projectively coresolved Gorenstein flat complexes[J]. Journal of Lanzhou University of Technology, 2020, 46(6): 153-158.

[1]	WU De-jun, LI Dan. Gorenstein flat-cotorsion objects in categories of rooted quiver representations [J]. Journal of Lanzhou University of Technology, 2023, 49(2): 151-156.
[2]	WU De-jun, FU Jia-hui. A characterization of FC-projective modules over triangular matrix rings [J]. Journal of Lanzhou University of Technology, 2022, 48(4): 144-151.
[3]	WU De-jun, ZHOU Hui. Gorenstein FP-injective modules and dimensions over formal triangular matrix rings [J]. Journal of Lanzhou University of Technology, 2022, 48(2): 144-150.
[4]	SONG Wei. W^⊥-Gorenstein injectivity under Frobenius extensions [J]. Journal of Lanzhou University of Technology, 2022, 48(1): 161-167.

Projectively coresolved Gorenstein flat complexes

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 4

Recommended Articles

Metrics

Comments