3 citations · 11 across the 36 of their papers we have counts for
5 papers · 1 filter
On the n-perfectness under split nilpotent extensions
Wei Qi, Xiaolei Zhang
Let be a split ring epimorphism with nilpotent kernel , and let be a fixed ring-theoretic section. We prove a change-of-rings form…
Duality Between Injective Envelopes and Flat Covers over Noether Algebras
Xiaolei Zhang
It follows by Puuska that, over a commutative Noetherian ring , a morphism of -modules is an injective envelope if and only if its Matlis dual $Hom_R(i,…
Mittag-Leffler Conditions, Gorenstein Modules and Homological Invariants
Guocheng Dai, Xiaolei Zhang
In this paper, we investigate certain properties on the Mittag-Leffler conditions via set-theoretic methods. We establish that a strongly -presented module satisfying…
The small finitistic dimensions of commutative rings, III
Xiaolei Zhang
The small finitistic dimension fPD of a ring is defined to be the supremum of projective dimensions of -modules with finite projective resolutions. In this paper, we sh…
Relative Faithful Exact Functors and Their Applications to Homological Modules
Xiaolei Zhang, Lei Qiao, Hwankoo Kim
The notions of faithfully projective, faithfully flat, and faithfully injective modules--defined as modules for which the three classical homological functors are both faithful and…