Automorphisms of dense subrings of the endomorphism ring of a free module

In this paper, we study the conditions under which an automorphism of a dense subring of the endomorphism ring of a free module is induced by a semilinear isomorphism of the module. This leads us to obtain some known results from the works of Bezushchak (2022) [7], Courtemanche and Dugas (2016) [6],...

Full description

Saved in:
Bibliographic Details
Published in:Linear algebra and its applications 2023-12, Vol.679, p.220-230
Main Authors: Abyzov, Adel, Maklakov, Alexander
Format: Article
Language:English
Subjects:
Dense subring
Finite topologies
Free module
Inner automorphism
Semilinear isomorphism
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we study the conditions under which an automorphism of a dense subring of the endomorphism ring of a free module is induced by a semilinear isomorphism of the module. This leads us to obtain some known results from the works of Bezushchak (2022) [7], Courtemanche and Dugas (2016) [6], Wolfson (1962) [8] and Jacobson (1975) [5], along with several nontrivial generalizations.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2023.09.021