模的限制内射维数

宋彦辉, 梁力 - 西南大学学报(自然科学版), 2018 - xbgjxt.swu.edu.cn
介绍并研究了限制内射模, 指出Gorenstein 内射模是限制内射模, 但反之不然.
利用限制内射模的分解进一步研究了经典的限制内射维数, 给出了其新的计算办法 …

Restricted injective dimensions over local homomorphisms

D Wu, F Kong - Mathematica Slovaca, 2018 - degruyter.com
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Restricted Projective, Injective and Flat Complexes

L Liang, Y Song - Bulletin of the Iranian Mathematical Society, 2021 - Springer
We introduce and study the notions of restricted projective, injective and flat complexes of
modules. It is shown in the paper that a complex C of modules is restricted projective if and …

New Characterizations of Restricted Injective Dimensions for Complexes

D Wu, Z Miao - Indian Journal of Pure and Applied Mathematics, 2020 - Springer
In this paper, we study the restricted injective dimensions of complexes. Some new
characterizations of the restricted injective dimensions are obtained. In particular, it is shown …

Restricted Injective Dimension of Modules

Y SONG, L LIANG - Journal of Southwest University Natural …, 2018 - xbgjxt.swu.edu.cn
This paper introduces the conception of restricted injective module and points out that
Gorenstein injective modules are restricted injective modules, but the opposite is not true …

Restricted homological dimensions over local homomorphisms and Cohen-Macaulayness

F Kong, D Wu - Czechoslovak Mathematical Journal, 2018 - Springer
We define and study restricted projective, injective and flat dimensions over local
homomorphisms. Some known results are generalized. As applications, we show that …

Stability of Restricted Homological Dimensions

DJ Wu - Applied Mechanics and Materials, 2014 - Trans Tech Publ
In this note, the stability of restricted homological dimensions of complexes over
commutative noetherian local ring is discussed. For instance, let R be a Cohen-Macaulay …