Open AccessA note on Gorenstein projective complexes
Author(s) -
Bo Lu,
Zhongkui Liu
Publication year - 2016
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1504-25
Subject(s) - mathematics , projective test , combinatorics , characterization (materials science) , pure mathematics , discrete mathematics , physics , optics
As we know, a complex Q is projective if and only if Q is exact and Zn(Q) is projective in R-Mod for each n 2 Z. In this article, we show that a complex G is Gorenstein projective with HomR(P;G) and HomR(G;P) exact for any Cartan{Eilenberg projective complex P if and only if G is exact and Zn(G) is Gorenstein projective in R-Mod for each n 2 Z. Using the above result, a new equivalent characterization of some A complexes is obtained.
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