### Cartan-Eilenberg Gorenstein AC-cohomology dimension of complexes

ZHANG Li-ying, YANG Gang

1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, China
• Published:2020-04-09

Abstract: Some equivalent characterizations of Cartan-Eilenberg Gorenstein AC-injective(projective)complexes are studied. It is proved that a complex G is Cartan-Eilenberg Gorenstein injective(projective)if and only if G has a Cartan-Eilenberg strongly complete injective(L complete projective)resolution. Also, the Cartan-Eilenberg Gorenstein AC-injective(projective)dimension of complexes is studied.

CLC Number:

• O154.2
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