On Realization and Isomorphism Problems for Formal Matrix Rings

2022/11/05 by П. А. Крылов, Krylov, Piotr, A. A. Tuganbaev +1
Mathematics · #Advanced Topics in Algebra #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2211.02957

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.

Related

• Formal Matrix Rings: Isomorphism Problem
• Automorphisms of Formal Matrix Rings
• Commutators of finite multiplicative order
• Formal matrix representations of pseudo-Frobenius and Frobenius rings
• Isomorphisms between strongly triangular matrix rings