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This article is cited in 2 scientific papers (total in 2 papers)
Simple asymmetric doubles, their automorphisms and derivations
S. V. Pchelintsev, O. V. Shashkov Financial University under the Government of the Russian Federation, Moscow
Abstract:
A simple right-alternative, but not alternative, superalgebra whose
even part coincides with an algebra of second-order matrices is
called an asymmetric double. It is known that such superalgebras are
eight-dimensional. We give a solution to the isomorphism problem
for asymmetric doubles, point out their automorphism groups and
derivation superalgebras.
Keywords:
asymmetric double, isomorphism,
automorphism group, superalgebra.
Received: 14.12.2018 Revised: 26.11.2019
Citation:
S. V. Pchelintsev, O. V. Shashkov, “Simple asymmetric doubles, their automorphisms and derivations”, Algebra Logika, 58:5 (2019), 627–649; Algebra and Logic, 58:5 (2019), 417–433
Linking options:
https://www.mathnet.ru/eng/al919 https://www.mathnet.ru/eng/al/v58/i5/p627
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Abstract page: | 342 | Full-text PDF : | 41 | References: | 54 | First page: | 16 |
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