Automorphisms of Formal Matrix Rings
Piotr Krylov, Askar Tuganbaev
TL;DR
This paper investigates the automorphism groups of formal matrix algebras and ordinary matrix algebras, including triangular matrices, to understand their structural symmetries.
Contribution
It provides new insights into the automorphism groups of formal and ordinary matrix algebras, expanding the understanding of their algebraic symmetries.
Findings
Characterization of automorphism groups of formal matrix algebras
Analysis of automorphisms of triangular matrix algebras
Identification of structural properties of matrix algebra automorphisms
Abstract
We study automorphism groups of formal matrix algebras. We also consider automorphisms of ordinary matrix algebras (in particular, triangular matrix algebras).
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras