JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 65-72.doi: 10.6040/j.issn.1671-9352.0.2014.588

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Strongly Cartan-Eilenberg Gorenstein projective and injective complexes

ZHAI Xiao-rui, ZHANG Chun-xia   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2014-12-26 Revised:2015-04-13 Online:2015-12-20 Published:2015-12-23

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Abstract: The subclasses of Cartan-Eilenberg (CE) Gorenstein projective and CE Gorenstein injective complexes, which are called strongly CE Gorenstein projective and injective complexes, are defined and investigated. The relationships between them and CE complexes are illustrated by some examples. It is proved that a complex G is a CE Gorenstein projective if and only if it is a direct summand of strongly CE Gorenstein projective complex. Some equivalent conditions of which CE Gorenstein projective complex is strongly CE Gorenstein projective complex are given.

Key words: strongly CE Gorenstein projective (injective) complex, CE Gorenstein projective (injective) complex

CLC Number: 

  • O153.3
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