Formal Matrix Rings: Isomorphism Problem
Piotr Krylov, Askar Tuganbaev
TL;DR
This paper investigates the isomorphism problem for formal matrix rings over a ring, emphasizing the role of principal factor matrices, and contributes to understanding their structural classification.
Contribution
It introduces new insights into the isomorphism problem for formal matrix rings, focusing on the significance of principal factor matrices.
Findings
Principal factor matrices are crucial in classifying formal matrix rings.
The paper provides criteria for isomorphism based on principal factor matrices.
New theoretical framework for analyzing formal matrix ring isomorphisms.
Abstract
We consider the isomorphism problem for formal matrix rings over a given ring. Principal factor matrices of such rings play an important role in this case. The work is supported by Russian Scientific Foundation, project 23-21-00375 (P.A. Krylov) and project 22-11-00052 (A.A. Tuganbaev).
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Taxonomy
TopicsRings, Modules, and Algebras