Automorphism-invariant modules
Pedro A. Guil Asensio, Ashish K. Srivastava
TL;DR
This survey explores automorphism-invariant modules, a class of modules invariant under automorphisms of their injective envelopes, summarizing current research and understanding in this area.
Contribution
It provides a comprehensive overview of the current state of research on automorphism-invariant modules, highlighting recent developments and open problems.
Findings
Summarizes key properties of automorphism-invariant modules
Highlights recent advances in the theory
Identifies open questions in the field
Abstract
A module is called automorphism-invariant if it is invariant under any automorphism of its injective envelope. In this survey article we present the current state of art dealing with such class of modules.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Algebraic structures and combinatorial models