Modules Whose Small Submodules Have Krull Dimension
Christian Lomp
Abstract
The main aim of this paper is to show that an AB5*-module whose small submodules have Krull dimension has a radical having Krull dimension. The proof uses the notion of dual Goldie dimension.
Create a lesson
Related papers
The operad of anti-pre-Lie algebras and its Lie elements
Chengming Bai, Vladimir Dotsenko, Guilai Liu et al.
Lie Algebras of Locally Finite Derivations over Fields of Positive Characteristic
Oksana Bezushchak, Anatoliy Petravchuk
A noetherian Hopf algebra has bijective antipode
Andrea Sciandra
Bimodule duality and Artin's problem for skew field extensions
Niels Lauritzen, Jesper Funch Thomsen
Cohen-Macaulay truncated path and Nakayama algebras
Takahiro Honma, Satoshi Usui
Rota-Baxter operators and factorization of Lie affgebras
JiaJia Han, Abror Khudoyberdiyev, Yunzhou Xie et al.