On Realization and Isomorphism Problems for Formal Matrix Rings
Piotr Krylov, Askar Tuganbaev
TL;DR
This paper investigates the realization and isomorphism problems for formal matrix rings over a ring, emphasizing the role of principal multiplier matrices in understanding their structure and classification.
Contribution
It introduces new insights into the realization and isomorphism problems for formal matrix rings, focusing on the significance of principal multiplier matrices.
Findings
Principal multiplier matrices are crucial in classifying formal matrix rings.
The paper provides criteria for realization and isomorphism based on these matrices.
New theoretical results on the structure of formal matrix rings are established.
Abstract
We consider realization and isomorphism problems for formal matrix rings over a given ring. Principal multiplier matrices of such rings play an important role in this case.\\ The work of A.A.Tuganbaev is supported by Russian Scientific Foundation, project 22-11-00052.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras