On restricted injective dimensions of complexes

W Dejun, L Zhongkui - Communications in Algebra, 2013 - Taylor & Francis
… The small restricted injective dimension [Citation5, Definition 5.1] of a left homologically …
large restricted injective dimension. Firstly, we show that the large restricted injective dimension

Finitistic dimension and restricted injective dimension

D Wu - Czechoslovak Mathematical Journal, 2015 - Springer
… We study the relations between finitistic dimensions and restricted injective di… restricted
injective dimensions of a module may be strictly smaller than the Gorenstein injective dimension

Restricted injective dimensions over Cohen-Macaulay rings

M Hrbek, G Le Gros - Algebras and Representation Theory, 2024 - Springer
… We show that the small and large restricted injective dimensions coincide for Cohen-… complex
M, we define the small restricted injective dimension small restricted injective dimension as …

[PDF][PDF] Injective dimension of semi-primary rings

A Zaks - Journal of Algebra, 1969 - core.ac.uk
… of replacing the global dimension by injective dimension. The … the ones used in the global
dimension case, as for instance … restriction, since the finiteness of the left injective dimension

Restricted Injective Dimension of Modules

Y SONG, L LIANG - Journal of Southwest University Natural …, 2018 - xbgjxt.swu.edu.cn
… of restricted injective module and points out that Gorenstein injective modules are restricted
injective … The classical restricted injective dimension is investigated by using resolutions with …

Projective and injective limits of weakly compact sequences of locally convex spaces

H Komatsu - Journal of the Mathematical Society of Japan, 1967 - jstage.jst.go.jp
… Thus the subspaces Y j with the restrictions ukj form a weakly compact injective sequence.
The injections i~ : Y---X j induce a continuous injection i : ZX and clearly the image i(Z) …

Gorenstein projective and injective dimensions over Frobenius extensions

W Ren - Communications in Algebra, 2018 - Taylor & Francis
… There is a map φ:M→Hom R (A,M) given by φ(m)(a) = am, which is an A-monomorphism,
and is split when we restrict it as an R-homomorphism. So we have an R-homomorphism φ ′ : …

On Gorenstein projective, injective and flat dimensions-a functorial description with applications

LW Christensen, A Frankild, H Holm - arXiv preprint math/0403156, 2004 - arxiv.org
… In the introduction we restrict to a commutative noetherian local ring R with residue field k. …
of Gorenstein projective, injective and flat dimensions, we present a few applications. …

Restricted homological dimensions and Cohen–Macaulayness

LW Christensen, HB Foxby, A Frankild - Journal of Algebra, 2002 - Elsevier
… Below we show that the large injective dimension is a refinement of the injective dimension,
at least over almost Cohen–Macaulay rings. For a complex Y of finite injective dimension

Injective hulls of certain discrete metric spaces and groups

U Lang - Journal of Topology and Analysis, 2013 - World Scientific
… ’s non-positive curvature condition in a restricted form (see (1.4) below); in particular…
dimension. Yet, it is shown that for a word hyperbolic group Γ the injective hull is a finite dimensional