Geodesic
Group of automorphisms of one class of formal matrix algebras
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 53 (2018), pp. 16-21

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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.
Mots-clés : automorphism, formal matrix algebra
Keywords: semidirect product. 
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     author = {P. A. Krylov and T. D. Norbosambuev},
     title = {Group of automorphisms of one class of formal matrix algebras},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {16--21},
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     year = {2018},
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P. A. Krylov; T. D. Norbosambuev. Group of automorphisms of one class of formal matrix algebras. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 53 (2018), pp. 16-21. http://geodesic.mathdoc.fr/item/VTGU_2018_53_a1/