Group of automorphisms of one class of formal matrix algebras | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2018. № 53. DOI: 10.17223/19988621/53/2

Group of automorphisms of one class of formal matrix algebras

The structure of the automorphism group of a formal matrix algebra over a commutative ring has been found under certain conditions. The automorphism group of such algebra is a semidirect product of several subgroups consisting of automorphisms with a known structure. This is achieved due to the fact that the formal matrix algebra is represented as a splitting extension of a certain nilpotent ideal by means of the product of ordinary matrix rings.

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Keywords

автоморфизм, алгебра формальных матриц, полупрямое произведение, automorphism, formal matrix algebra, semidirect product

Authors

Name	Organization	E-mail
Krylov Piotr A.	Tomsk State University	krylov@math.tsu.ru
Norbosambuev Tsyrendorji D.	Tomsk State University	NsTsdDts@yandex.ru

Всего: 2

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