Results 51 to 60 of about 87 (85)

Dimension of complexes related to special Gorenstein projective precovers

Communications in Algebra, 2021
Let R be a ring and X a complex of R-modules. We investigate the relationship between the dimensions Gppd (X) and Gpd (X) of X, where Gppd (X) is the dimension related to special Gorenstein project...
Zhongkui Liu, Jinlan Li
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On Gorenstein Projective Dimensions of Unbounded Complexes

Chinese Annals of Mathematics, Series B, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhongkui, Wang, Zhanping
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Gorenstein projective dimensions of complexes

Acta Mathematica Sinica, English Series, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhong Kui, Zhang, Chun Xia
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Gorenstein AC-projective dimension of unbounded complexes

Communications in Algebra, 2016
ABSTRACTRecently, the notion of Gorenstein AC-projective (resp., Gorenstein AC-injective) modules was introduced in [3] by which the so-called “Gorenstein AC-homological algebra” was established. Here, we define and study a notion of Gorenstein AC-projective dimension for complexes (not necessarily bounded) over associative rings, which is inspired by ...
Zhenxing Di   +2 more
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Gorenstein Projective Dimension Relative to a Semidualizing Bimodule

Communications in Algebra, 2013
Let S and R be rings and S C R a semidualizing bimodule. We investigate the relation between the G C -syzygy with the C-syzygy of a module as well as the relation between the G C -projective resolution and the projective resolution of a module. As a consequence, we get that if is an exact sequence of S-modules with all G i , G i G C -projective, such ...
Zengfeng Liu, Zhaoyong Huang, Aimin Xu
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Complete cohomology for complexes with finite Gorenstein AC-projective dimension

Frontiers of Mathematics in China, 2016
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Hu, Jiangsheng   +2 more
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Homological dimensions for endomorphism algebras of Gorenstein projective modules

Czechoslovak Mathematical Journal
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Zhang, Aiping, Lei, Xueping
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Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module

Communications in Algebra, 2019
Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is proved that FPD(R)=sup{GPC−pdR(M) | M∈BC(R) and GPC−pdR(M)
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