Geodesic
Local automorphisms of nilpotent algebras of matrices of small orders
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2013), pp. 40-48

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Let $K$ be an associative commutative ring with identity and let $R$ be the algebra of lower niltriangular $n\times n$-matrices over $K$. For $n=3$ we prove that local automorphisms and Lie ones of the algebra $R$ generate all local Lie automorphisms of the latter. For the case when $K$ is a field and $n=4$ we describe local automorphisms and local derivations of the algebra $R$, as well as its local Lie automorphisms.
Keywords: nilpotent algebra, associated Lie algebra, local automorphism, local derivation. 
@article{IVM_2013_2_a3,
     author = {A. P. Elisova},
     title = {Local automorphisms of nilpotent algebras of matrices of small orders},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {40--48},
     publisher = {mathdoc},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_2_a3/}
}
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A. P. Elisova. Local automorphisms of nilpotent algebras of matrices of small orders. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2013), pp. 40-48. http://geodesic.mathdoc.fr/item/IVM_2013_2_a3/